Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bn |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-94076963651584 = -1 · 236 · 372 |
Discriminant |
Eigenvalues |
2- -2 3 4 -6 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8831,-337281] |
[a1,a2,a3,a4,a6] |
j |
212207543/262144 |
j-invariant |
L |
2.5771775115572 |
L(r)(E,1)/r! |
Ω |
0.32214720019943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616k2 21904j2 87616bp2 |
Quadratic twists by: -4 8 37 |