Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320bj |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-89361288396800 = -1 · 217 · 52 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -5 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28108,1869968] |
[a1,a2,a3,a4,a6] |
j |
-18737153748882/681772525 |
j-invariant |
L |
2.4003539715776 |
L(r)(E,1)/r! |
Ω |
0.60008850163187 |
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 |
96320n1 24080d1 |
Quadratic twists by: -4 8 |