Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024z |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
318966014928 = 24 · 3 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3307,-69082] |
[a1,a2,a3,a4,a6] |
j |
141150208/11253 |
j-invariant |
L |
5.0618706555144 |
L(r)(E,1)/r! |
Ω |
0.63273383344036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184e1 |
Quadratic twists by: -11 |