Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336c |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
2058641728 = 26 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3186,68132] |
[a1,a2,a3,a4,a6] |
j |
3818094016/2197 |
j-invariant |
L |
2.9062325707323 |
L(r)(E,1)/r! |
Ω |
1.4531162854422 |
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 |
50336e1 100672ec1 50336x1 |
Quadratic twists by: -4 8 -11 |