Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35776f |
Isogeny class |
Conductor |
35776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
4159747072 = 210 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 0 -4 2 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2872,59160] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:276:1] |
Generators of the group modulo torsion |
j |
2558450755584/4062253 |
j-invariant |
L |
4.486160973311 |
L(r)(E,1)/r! |
Ω |
1.3859930840285 |
Real period |
R |
3.2367845301737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35776a1 8944b1 |
Quadratic twists by: -4 8 |