Atkin-Lehner |
2+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98624i |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-103414759424 = -1 · 226 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3 -1 4 2 2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1172,944] |
[a1,a2,a3,a4,a6] |
Generators |
[6820920:64952324:91125] |
Generators of the group modulo torsion |
j |
679151439/394496 |
j-invariant |
L |
14.652421881537 |
L(r)(E,1)/r! |
Ω |
0.63869992731164 |
Real period |
R |
11.470505342925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624l1 3082a1 |
Quadratic twists by: -4 8 |