Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584m |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-233868787569442816 = -1 · 214 · 78 · 195 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ -4 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-287205,63743933] |
[a1,a2,a3,a4,a6] |
j |
-27739393024/2476099 |
j-invariant |
L |
1.5326991954186 |
L(r)(E,1)/r! |
Ω |
0.30653983935023 |
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 |
59584bs1 7448i1 59584w1 |
Quadratic twists by: -4 8 -7 |