Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585n |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4155840 |
Modular degree for the optimal curve |
Δ |
-6.268373596049E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 1 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2927136,2272035341] |
[a1,a2,a3,a4,a6] |
j |
-261554618257408/59110509375 |
j-invariant |
L |
5.5825937158391 |
L(r)(E,1)/r! |
Ω |
0.15507205022756 |
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 |
78585v1 |
Quadratic twists by: 13 |