Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775b |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
5082804453125 = 57 · 77 · 79 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6533,169719] |
[a1,a2,a3,a4,a6] |
Generators |
[-726:1221:8] [-47:612:1] |
Generators of the group modulo torsion |
j |
16777216/2765 |
j-invariant |
L |
6.6570154261107 |
L(r)(E,1)/r! |
Ω |
0.73263180927971 |
Real period |
R |
0.56790253823559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19355a1 13825a1 |
Quadratic twists by: 5 -7 |