Atkin-Lehner |
3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86151a |
Isogeny class |
Conductor |
86151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11350513741437 = 34 · 13 · 476 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153571,23099476] |
[a1,a2,a3,a4,a6] |
j |
37159393753/1053 |
j-invariant |
L |
0.66706645463656 |
L(r)(E,1)/r! |
Ω |
0.66706646321327 |
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 |
39a2 |
Quadratic twists by: -47 |