Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ep |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-31968120877056 = -1 · 212 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51744,-4538576] |
[a1,a2,a3,a4,a6] |
j |
-43614208/91 |
j-invariant |
L |
0.63300945626946 |
L(r)(E,1)/r! |
Ω |
0.15825238444946 |
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 |
5733f1 10192bb1 13104bx1 |
Quadratic twists by: -4 -3 -7 |