Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824j |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2394097264 = -1 · 24 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 3 6 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2873,59319] |
[a1,a2,a3,a4,a6] |
j |
-33958656/31 |
j-invariant |
L |
2.8865976482731 |
L(r)(E,1)/r! |
Ω |
1.443298842494 |
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 |
20956d1 496e1 |
Quadratic twists by: -4 13 |