Atkin-Lehner |
2+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864o |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-19643732953856 = -1 · 28 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ -3 1 4 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4913,-167042] |
[a1,a2,a3,a4,a6] |
j |
7344/11 |
j-invariant |
L |
2.1764584018907 |
L(r)(E,1)/r! |
Ω |
0.36274306689488 |
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 |
25432r1 50864u1 |
Quadratic twists by: -4 17 |