Atkin-Lehner |
3- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59409f |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-15249458752227 = -1 · 315 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
0 3- 0 7- 1 4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3090,-199175] |
[a1,a2,a3,a4,a6] |
j |
-4475809792000/20918324763 |
j-invariant |
L |
2.3200242316966 |
L(r)(E,1)/r! |
Ω |
0.29000302891147 |
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 |
19803c1 |
Quadratic twists by: -3 |