Atkin-Lehner |
2- 11- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526be |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-6.072594778823E+20 |
Discriminant |
Eigenvalues |
2- -3 3 -3 11- 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1965864,-529796517] |
[a1,a2,a3,a4,a6] |
Generators |
[267:3617:1] |
Generators of the group modulo torsion |
j |
474272799173478423/342782144042624 |
j-invariant |
L |
6.6314147897417 |
L(r)(E,1)/r! |
Ω |
0.091492566350302 |
Real period |
R |
2.5885845439739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866c1 |
Quadratic twists by: -11 |