Atkin-Lehner |
2+ 3+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538b |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
270558382457088 = 28 · 33 · 115 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93220,-10965296] |
[a1,a2,a3,a4,a6] |
j |
89589742283924151625/270558382457088 |
j-invariant |
L |
0.54655077358539 |
L(r)(E,1)/r! |
Ω |
0.27327538679334 |
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 |
97614bm1 |
Quadratic twists by: -3 |