Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540f |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9.972108512062E+24 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127709206,-575856798019] |
[a1,a2,a3,a4,a6] |
Generators |
[2002659383998854861:-458209918699952318495:36498556859211] |
Generators of the group modulo torsion |
j |
-122372013839654770813696/5297595236711512175 |
j-invariant |
L |
2.7809697278274 |
L(r)(E,1)/r! |
Ω |
0.022398330341795 |
Real period |
R |
31.039922232932 |
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 |
90160cb2 112700o2 3220c2 |
Quadratic twists by: -4 5 -7 |