Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920s |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
3919052800000 = 222 · 55 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- 1 4 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4027,24554] |
[a1,a2,a3,a4,a6] |
j |
1763228727441/956800000 |
j-invariant |
L |
6.8342594948513 |
L(r)(E,1)/r! |
Ω |
0.68342594948512 |
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 |
2990g1 95680bq1 119600bm1 |
Quadratic twists by: -4 8 5 |