Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23920t |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
149500000000 = 28 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- 3 -4 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2887,-56734] |
[a1,a2,a3,a4,a6] |
j |
10394990540496/583984375 |
j-invariant |
L |
5.8823289022455 |
L(r)(E,1)/r! |
Ω |
0.65359210024949 |
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 |
5980e1 95680bd1 119600z1 |
Quadratic twists by: -4 8 5 |