Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.897520295761E+31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5259214087,-213355860523632] |
[a1,a2,a3,a4,a6] |
Generators |
[6671284936076992747899299840829059995550299180936801547172924539609390632996011918110728936725114351269844077848707684956490:-2360199221995037289043844165242958349781651309911597123066251482752351470130734696322219466996994225305918938224914730465684727:71795764760211298177932714144183302539937305186931736106653038275660466049561950130258624554165640797486473033291751000] |
Generators of the group modulo torsion |
j |
3332929660234457386698260639/6002972762669909038101375 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.010995047669426 |
Real period |
R |
194.32260603892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655bf7 2145e8 |
Quadratic twists by: -3 13 |