Atkin-Lehner |
5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
87025d |
Isogeny class |
Conductor |
87025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
-311081435602375 = -1 · 53 · 597 |
Discriminant |
Eigenvalues |
-1 2 5- -2 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15592,404656] |
[a1,a2,a3,a4,a6] |
Generators |
[58169520:1470941936:91125] |
Generators of the group modulo torsion |
j |
79507/59 |
j-invariant |
L |
4.9240679613848 |
L(r)(E,1)/r! |
Ω |
0.34738058110003 |
Real period |
R |
14.174850928972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87025c1 1475a1 |
Quadratic twists by: 5 -59 |