Atkin-Lehner |
2- 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
51792m |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-247689583909208064 = -1 · 216 · 313 · 134 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376104,-92076876] |
[a1,a2,a3,a4,a6] |
j |
-1436444252133760297/60471089821584 |
j-invariant |
L |
5.0000801097412 |
L(r)(E,1)/r! |
Ω |
0.096155386747232 |
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 |
6474b1 |
Quadratic twists by: -4 |