Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392i |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
16 |
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 |
1.6686696504615 |
L(r)(E,1)/r! |
Ω |
1.6686696504615 |
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 |
7392g1 14784ba2 22176d1 51744cj1 |
Quadratic twists by: -4 8 -3 -7 |