Atkin-Lehner |
11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327h |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
763776 |
Modular degree for the optimal curve |
Δ |
-633366819697962779 = -1 · 11 · 134 · 1710 |
Discriminant |
Eigenvalues |
-2 0 3 2 11+ 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-83521,-39401032] |
[a1,a2,a3,a4,a6] |
j |
-31961088/314171 |
j-invariant |
L |
1.9570068208788 |
L(r)(E,1)/r! |
Ω |
0.12231292630422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41327p1 |
Quadratic twists by: 17 |