Atkin-Lehner |
2+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080b |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2914912000 = -1 · 28 · 53 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,337,1038] |
[a1,a2,a3,a4,a6] |
j |
16533829296/11386375 |
j-invariant |
L |
1.8035358014473 |
L(r)(E,1)/r! |
Ω |
0.90176790303037 |
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 |
40040m1 |
Quadratic twists by: -4 |