Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728dq |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
4732889616 = 24 · 36 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6321,193403] |
[a1,a2,a3,a4,a6] |
j |
997335808/169 |
j-invariant |
L |
2.6571722943849 |
L(r)(E,1)/r! |
Ω |
1.328586208435 |
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 |
22932j1 10192p1 91728er1 |
Quadratic twists by: -4 -3 -7 |