Atkin-Lehner |
2+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9568c |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27776 |
Modular degree for the optimal curve |
Δ |
-181300145401856 = -1 · 212 · 13 · 237 |
Discriminant |
Eigenvalues |
2+ 1 1 -4 -5 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16445,1033067] |
[a1,a2,a3,a4,a6] |
j |
-120085841645056/44262730811 |
j-invariant |
L |
1.0715260494118 |
L(r)(E,1)/r! |
Ω |
0.53576302470591 |
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 |
9568l1 19136a1 86112bn1 124384k1 |
Quadratic twists by: -4 8 -3 13 |