Atkin-Lehner |
5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66785b |
Isogeny class |
Conductor |
66785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
5671236288465925 = 52 · 1910 · 37 |
Discriminant |
Eigenvalues |
0 1 5+ 1 -5 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-54631,3302625] |
[a1,a2,a3,a4,a6] |
j |
383290015744/120546925 |
j-invariant |
L |
1.5810855149912 |
L(r)(E,1)/r! |
Ω |
0.39527138180723 |
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 |
3515a1 |
Quadratic twists by: -19 |