Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7504u |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
1921024 = 212 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3 1 7- 0 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,-982] |
[a1,a2,a3,a4,a6] |
j |
176558481/469 |
j-invariant |
L |
5.1649780377872 |
L(r)(E,1)/r! |
Ω |
1.2912445094468 |
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 |
469b1 30016bw1 67536by1 52528bx1 |
Quadratic twists by: -4 8 -3 -7 |