Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728bm |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.7355867354255E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42015099,105124524442] |
[a1,a2,a3,a4,a6] |
j |
-38898423529252/129730653 |
j-invariant |
L |
1.4282288522224 |
L(r)(E,1)/r! |
Ω |
0.11901906589103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864br1 30576bc1 91728n1 |
Quadratic twists by: -4 -3 -7 |