Atkin-Lehner |
2- 3+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bg |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
12009600 |
Modular degree for the optimal curve |
Δ |
-3.694862287853E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-388763183,-2950268358697] |
[a1,a2,a3,a4,a6] |
j |
-240666329650344616245541600467/13684675140196339552 |
j-invariant |
L |
2.5499961994619 |
L(r)(E,1)/r! |
Ω |
0.016999974710196 |
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 |
67158f1 |
Quadratic twists by: -3 |