Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162ba |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-2.0382570796726E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15458922,23408616820] |
[a1,a2,a3,a4,a6] |
j |
-316357187835741625/157824826368 |
j-invariant |
L |
0.70335929855818 |
L(r)(E,1)/r! |
Ω |
0.17583982581682 |
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 |
21054x1 5742w1 |
Quadratic twists by: -3 -11 |