Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658l |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109401600 |
Modular degree for the optimal curve |
Δ |
-13210059405312 = -1 · 211 · 35 · 72 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27826737614,-1786670107548108] |
[a1,a2,a3,a4,a6] |
Generators |
[35486107114071268285127208407703928878398391492399954678981844750011059172795789664231519896036493809152150553392189614533738372778108853972266634364484259083102212306234056359831844077760331682831892885332587321074517035612916625036618568398723248352849543657735306919961611604795233848840929798474624358:7505696124597948656130782966182791072204995889197216045342533843252943534714783100937663731469241895591127609039455829018753474957426579300761865387988648845297347367881627031261091481274583245669768534386691562828492581597677289417691428875427977995604464781017315266443990682688709447929823170029876995585:165825877243999643313298545640741423483611364024279915466757231838202637529545015324947172937561588158469814589145197742012270036862061340339815436361869638934481364345979504495721290164850246628148308213399071053496086281957884281157363843156440764064864017391310364512839636634445919682087302207688] |
Generators of the group modulo torsion |
j |
-48631146794129815603397797611320377/269593049088 |
j-invariant |
L |
5.4888472092131 |
L(r)(E,1)/r! |
Ω |
0.0058445891267854 |
Real period |
R |
469.56655892696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658bb1 |
Quadratic twists by: -7 |