Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392g |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
30735936 = 26 · 34 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,80] |
[a1,a2,a3,a4,a6] |
j |
964430272/480249 |
j-invariant |
L |
3.6991241774495 |
L(r)(E,1)/r! |
Ω |
1.8495620887248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7392i1 14784o2 22176u1 51744x1 |
Quadratic twists by: -4 8 -3 -7 |