Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bj |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4091904 |
Modular degree for the optimal curve |
Δ |
-5.0421661668924E+21 |
Discriminant |
Eigenvalues |
2- 2 -1 0 2 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2498881,3740270049] |
[a1,a2,a3,a4,a6] |
j |
-1369/4 |
j-invariant |
L |
0.96104657535985 |
L(r)(E,1)/r! |
Ω |
0.12013081771755 |
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 |
87616n1 21904k1 87616bi1 |
Quadratic twists by: -4 8 37 |