Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bd |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-67971394304 = -1 · 28 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 1 3 2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,771,9719] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
2.9628828334775 |
L(r)(E,1)/r! |
Ω |
0.74072070867172 |
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 |
12716d1 176c1 |
Quadratic twists by: -4 17 |