Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946r |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
280320 |
Modular degree for the optimal curve |
Δ |
-514314813348518 = -1 · 2 · 77 · 135 · 292 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -1 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-361474,83626570] |
[a1,a2,a3,a4,a6] |
j |
-44398340949270673/4371603782 |
j-invariant |
L |
1.9998187299502 |
L(r)(E,1)/r! |
Ω |
0.49995468248626 |
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 |
5278e1 |
Quadratic twists by: -7 |