Atkin-Lehner |
2+ 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306n |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9966528 |
Modular degree for the optimal curve |
Δ |
-8.7792932373646E+20 |
Discriminant |
Eigenvalues |
2+ -2 1 -3 11- 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18045338,29537915724] |
[a1,a2,a3,a4,a6] |
j |
-25054854738024001/33847975936 |
j-invariant |
L |
0.94532907484111 |
L(r)(E,1)/r! |
Ω |
0.15755489766105 |
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 |
119306r1 |
Quadratic twists by: -11 |