Atkin-Lehner |
2+ 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936f |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
117076061159424 = 215 · 316 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12289,67009] |
[a1,a2,a3,a4,a6] |
j |
6264100970504/3572877843 |
j-invariant |
L |
1.012989120847 |
L(r)(E,1)/r! |
Ω |
0.50649456042349 |
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 |
15936j3 7968g2 47808m4 |
Quadratic twists by: -4 8 -3 |