Atkin-Lehner |
5+ 7+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
90475a |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
546490205078125 = 510 · 72 · 11 · 473 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 11+ -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144700,-21216625] |
[a1,a2,a3,a4,a6] |
j |
34311045497425/55960597 |
j-invariant |
L |
1.4688445819888 |
L(r)(E,1)/r! |
Ω |
0.24480741865749 |
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 |
90475j1 |
Quadratic twists by: 5 |