Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110c |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
495964278368000 = 28 · 53 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378845,89839621] |
[a1,a2,a3,a4,a6] |
j |
7371607749129/608000 |
j-invariant |
L |
0.9990979473284 |
L(r)(E,1)/r! |
Ω |
0.49954897366231 |
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 |
32110y1 |
Quadratic twists by: 13 |