Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925c |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
7158153515625 = 39 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5105,-54728] |
[a1,a2,a3,a4,a6] |
j |
47832147/23275 |
j-invariant |
L |
1.1863824632701 |
L(r)(E,1)/r! |
Ω |
0.59319123163542 |
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 |
29925a1 5985e1 |
Quadratic twists by: -3 5 |