Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075b |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
131322515625 = 39 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5780,-166778] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:35:1] [128:1021:1] |
Generators of the group modulo torsion |
j |
69426531/427 |
j-invariant |
L |
6.9986773365172 |
L(r)(E,1)/r! |
Ω |
0.54775248650051 |
Real period |
R |
6.3885399970585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075a1 3843a1 |
Quadratic twists by: -3 5 |