Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65268j |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4112657034192 = 24 · 310 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,28469] |
[a1,a2,a3,a4,a6] |
j |
5619712/2997 |
j-invariant |
L |
2.7333431234062 |
L(r)(E,1)/r! |
Ω |
0.68333577982628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756d1 1332d1 |
Quadratic twists by: -3 -7 |