Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232s |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-1395712 = -1 · 210 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 2 2 5 -3 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,117] |
[a1,a2,a3,a4,a6] |
j |
-5619712/1363 |
j-invariant |
L |
5.1487078795355 |
L(r)(E,1)/r! |
Ω |
2.574353960103 |
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 |
87232i1 21808f1 |
Quadratic twists by: -4 8 |