Atkin-Lehner |
2+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650b |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
408000 |
Modular degree for the optimal curve |
Δ |
221030000000000 = 210 · 510 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 1 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1808867,-935940459] |
[a1,a2,a3,a4,a6] |
j |
67026063125099025/22633472 |
j-invariant |
L |
0.52072434769932 |
L(r)(E,1)/r! |
Ω |
0.1301810869202 |
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 |
35650s1 |
Quadratic twists by: 5 |