Atkin-Lehner |
3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8325z |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
263408203125 = 36 · 510 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 -3 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35175,-2539094] |
[a1,a2,a3,a4,a6] |
Generators |
[-2940:-1:27] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
2.4947691486094 |
L(r)(E,1)/r! |
Ω |
0.34861209781129 |
Real period |
R |
3.5781448266891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
925d1 1665g1 |
Quadratic twists by: -3 5 |