Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306x |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-329744378966647824 = -1 · 24 · 36 · 192 · 238 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 4 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,152341,-15463743] |
[a1,a2,a3,a4,a6] |
j |
4992881423/4210704 |
j-invariant |
L |
8.0746616919698 |
L(r)(E,1)/r! |
Ω |
0.16822211858187 |
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 |
60306z1 |
Quadratic twists by: -23 |