Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cv |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
42340320000000 = 211 · 37 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133008,-18623988] |
[a1,a2,a3,a4,a6] |
Generators |
[-5721:800:27] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
4.1135475426674 |
L(r)(E,1)/r! |
Ω |
0.24999658828305 |
Real period |
R |
4.1136036800216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520x1 72600m1 |
Quadratic twists by: 5 -11 |