Atkin-Lehner |
3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075g |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2814697265625 = 33 · 512 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3792,40491] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1251:1] |
Generators of the group modulo torsion |
j |
14295828483/6671875 |
j-invariant |
L |
7.2198110642589 |
L(r)(E,1)/r! |
Ω |
0.72009479078686 |
Real period |
R |
5.0130976903235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075h1 19215e1 |
Quadratic twists by: -3 5 |