Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600a |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8900000000 = 28 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,2750] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:88:1] |
Generators of the group modulo torsion |
j |
5256144/2225 |
j-invariant |
L |
6.4508147660514 |
L(r)(E,1)/r! |
Ω |
1.1758780495625 |
Real period |
R |
2.7429777979317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17800g1 7120a1 |
Quadratic twists by: -4 5 |