Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140n |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
8305132500000000 = 28 · 37 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70541,5701695] |
[a1,a2,a3,a4,a6] |
Generators |
[-934:28125:8] |
Generators of the group modulo torsion |
j |
3094700744482816/662080078125 |
j-invariant |
L |
8.9788231485355 |
L(r)(E,1)/r! |
Ω |
0.39109722359038 |
Real period |
R |
1.6398595334313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140i1 |
Quadratic twists by: -7 |