Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cb |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
178023918121712208 = 24 · 316 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287238,-55667185] |
[a1,a2,a3,a4,a6] |
j |
1909913257984/129730653 |
j-invariant |
L |
4.9705187490214 |
L(r)(E,1)/r! |
Ω |
0.20710494970424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864w1 30576q1 1872g1 |
Quadratic twists by: -4 -3 -7 |