Atkin-Lehner |
2- 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7584a |
Isogeny class |
Conductor |
7584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2620620864 = 26 · 38 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2134,38584] |
[a1,a2,a3,a4,a6] |
j |
16800820020928/40947201 |
j-invariant |
L |
0.72242981045445 |
L(r)(E,1)/r! |
Ω |
1.4448596209089 |
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 |
7584c1 15168p2 22752c1 |
Quadratic twists by: -4 8 -3 |