Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bp |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
300288 |
Modular degree for the optimal curve |
Δ |
-333943460215552 = -1 · 28 · 11 · 179 |
Discriminant |
Eigenvalues |
2- 2 4 1 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,1056113] |
[a1,a2,a3,a4,a6] |
Generators |
[857:24870:1] |
Generators of the group modulo torsion |
j |
-8192/11 |
j-invariant |
L |
11.930402624411 |
L(r)(E,1)/r! |
Ω |
0.48797136858577 |
Real period |
R |
6.1122452014719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12716a1 50864bg1 |
Quadratic twists by: -4 17 |