Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376q |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-19298961999855616 = -1 · 216 · 138 · 192 |
Discriminant |
Eigenvalues |
2- -2 -3 0 6 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132552,19696756] |
[a1,a2,a3,a4,a6] |
j |
-77086633/5776 |
j-invariant |
L |
1.5150325379338 |
L(r)(E,1)/r! |
Ω |
0.37875813426211 |
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 |
6422c1 51376y1 |
Quadratic twists by: -4 13 |