Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bb |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
2587115520 = 214 · 32 · 5 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5816,172656] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-66:1] |
Generators of the group modulo torsion |
j |
5312655169849/631620 |
j-invariant |
L |
3.2870593888846 |
L(r)(E,1)/r! |
Ω |
1.3873449999695 |
Real period |
R |
0.59232912307171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570k1 |
Quadratic twists by: -4 |