Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480bm |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
55806059528000 = 26 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,-447265] |
[a1,a2,a3,a4,a6] |
j |
557056/125 |
j-invariant |
L |
5.4408877991378 |
L(r)(E,1)/r! |
Ω |
0.45340733093845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480dt1 1445e1 92480ce1 |
Quadratic twists by: -4 8 17 |