Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280k |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-62481715200000 = -1 · 215 · 39 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 0 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8532,229392] |
[a1,a2,a3,a4,a6] |
j |
106496424/96875 |
j-invariant |
L |
1.6254625114825 |
L(r)(E,1)/r! |
Ω |
0.40636562683211 |
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 |
89280c1 44640g1 89280w1 |
Quadratic twists by: -4 8 -3 |