Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9568g |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-206974976 = -1 · 212 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 1 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317,2389] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:52:1] |
Generators of the group modulo torsion |
j |
-862801408/50531 |
j-invariant |
L |
1.9125553295006 |
L(r)(E,1)/r! |
Ω |
1.7560425080578 |
Real period |
R |
0.18152135846415 |
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 |
9568j1 19136f1 86112bh1 124384p1 |
Quadratic twists by: -4 8 -3 13 |