Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328v |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-14857092726784 = -1 · 218 · 72 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3872,208640] |
[a1,a2,a3,a4,a6] |
j |
-1567768622113/3627219904 |
j-invariant |
L |
4.9735070659273 |
L(r)(E,1)/r! |
Ω |
0.62168834300628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166n1 |
Quadratic twists by: -4 |