Atkin-Lehner |
2- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83030h |
Isogeny class |
Conductor |
83030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-14843634097834000 = -1 · 24 · 53 · 199 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -4 3 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8115,5858387] |
[a1,a2,a3,a4,a6] |
j |
1256216039/315514000 |
j-invariant |
L |
7.3262696142301 |
L(r)(E,1)/r! |
Ω |
0.30526123470309 |
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 |
4370a1 |
Quadratic twists by: -19 |