Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5856f |
Isogeny class |
Conductor |
5856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-843264 = -1 · 29 · 33 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 -2 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
-3112136/1647 |
j-invariant |
L |
5.1334822995589 |
L(r)(E,1)/r! |
Ω |
1.0487455807631 |
Real period |
R |
0.81581309991058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5856b1 11712y1 17568p1 |
Quadratic twists by: -4 8 -3 |