Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400j |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4076800 = 28 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-2237] |
[a1,a2,a3,a4,a6] |
j |
531573760/637 |
j-invariant |
L |
2.2696513569927 |
L(r)(E,1)/r! |
Ω |
1.1348256784922 |
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 |
18200a1 36400v1 |
Quadratic twists by: -4 5 |