Atkin-Lehner |
2+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334d |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
-2.2359374741891E+19 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-613987,-293390946] |
[a1,a2,a3,a4,a6] |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
0.16453863891305 |
L(r)(E,1)/r! |
Ω |
0.082269434675784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
406d1 |
Quadratic twists by: 17 |