Atkin-Lehner |
2- 3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918bd |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1044237422592 = 212 · 38 · 72 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6710,207429] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-417:1] |
Generators of the group modulo torsion |
j |
45825062361625/1432424448 |
j-invariant |
L |
10.552127930431 |
L(r)(E,1)/r! |
Ω |
0.87055050471311 |
Real period |
R |
0.50505053321406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306d1 |
Quadratic twists by: -3 |