Atkin-Lehner |
2+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870j |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
3297575125028080 = 24 · 5 · 1311 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108445,13492181] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/683179120 |
j-invariant |
L |
3.5711755902143 |
L(r)(E,1)/r! |
Ω |
0.44639694877685 |
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 |
2990i1 |
Quadratic twists by: 13 |