Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616ba |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-830161857982464 = -1 · 212 · 34 · 75 · 533 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 5 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54909,-5161077] |
[a1,a2,a3,a4,a6] |
j |
-4469946001956352/202676234859 |
j-invariant |
L |
6.221126322374 |
L(r)(E,1)/r! |
Ω |
0.15552815805965 |
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 |
35616b1 71232w1 106848v1 |
Quadratic twists by: -4 8 -3 |