Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4600j |
Isogeny class |
Conductor |
4600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-89843750000 = -1 · 24 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4675,123875] |
[a1,a2,a3,a4,a6] |
j |
-45198971136/359375 |
j-invariant |
L |
4.3161439197498 |
L(r)(E,1)/r! |
Ω |
1.0790359799374 |
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 |
9200k1 36800q1 41400k1 920b1 |
Quadratic twists by: -4 8 -3 5 |