Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864f |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-6154544 = -1 · 24 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 1 -1 4 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,-124] |
[a1,a2,a3,a4,a6] |
Generators |
[4032:2818:729] |
Generators of the group modulo torsion |
j |
-34816/1331 |
j-invariant |
L |
6.9177336598205 |
L(r)(E,1)/r! |
Ω |
1.0419974748523 |
Real period |
R |
6.6389159539808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432x1 50864w1 |
Quadratic twists by: -4 17 |