Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560ba |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110170368 |
Modular degree for the optimal curve |
Δ |
-6.7179717641093E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4491277736,-122377985423760] |
[a1,a2,a3,a4,a6] |
Generators |
[24522710119142124671891190505151732672217807354504903001480689702463310490735906868512121970800313042:36924216218300868137181654358990059558090819082121456703233465067032044909594807004310328817602593061134:10806849617536788470468410437525150423578774903273911947795421835593697465817962195726693357317] |
Generators of the group modulo torsion |
j |
-2446096019492848437542909948329/164012982522200064000000000 |
j-invariant |
L |
5.5944264760663 |
L(r)(E,1)/r! |
Ω |
0.0091854332642847 |
Real period |
R |
152.26354367569 |
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 |
9570j1 |
Quadratic twists by: -4 |