Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cz |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2191186722816000 = 222 · 38 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33123,558178] |
[a1,a2,a3,a4,a6] |
j |
1345938541921/733824000 |
j-invariant |
L |
1.6117275773138 |
L(r)(E,1)/r! |
Ω |
0.40293189733353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190g1 21840cj1 |
Quadratic twists by: -4 -3 |