Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600ee |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
10508182893000000 = 26 · 314 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-653025,-203055500] |
[a1,a2,a3,a4,a6] |
j |
42246001231552/14414517 |
j-invariant |
L |
2.0153813715366 |
L(r)(E,1)/r! |
Ω |
0.16794844827607 |
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 |
93600bs1 31200w1 3744d1 |
Quadratic twists by: -4 -3 5 |