Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51336p |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3024545900834727936 = -1 · 211 · 311 · 234 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 -1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207579,-91248874] |
[a1,a2,a3,a4,a6] |
j |
-662546673464114/2025828605133 |
j-invariant |
L |
1.2394911796019 |
L(r)(E,1)/r! |
Ω |
0.10329093161525 |
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 |
102672l1 17112b1 |
Quadratic twists by: -4 -3 |