Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9196a |
Isogeny class |
Conductor |
9196 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-217912093811456 = -1 · 28 · 119 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 -2 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344285,-77643047] |
[a1,a2,a3,a4,a6] |
j |
-7476617216/361 |
j-invariant |
L |
0.39418370002694 |
L(r)(E,1)/r! |
Ω |
0.098545925006735 |
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 |
36784m1 82764e1 9196b1 |
Quadratic twists by: -4 -3 -11 |