Atkin-Lehner |
2+ 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52632g |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
27242410779648 = 210 · 39 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109481115,-440917088794] |
[a1,a2,a3,a4,a6] |
j |
194407879190639141510500/36493713 |
j-invariant |
L |
2.5203363983409 |
L(r)(E,1)/r! |
Ω |
0.046672896272058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264k1 17544e1 |
Quadratic twists by: -4 -3 |