Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518x |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-2.8640682967033E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64261368,198310114624] |
[a1,a2,a3,a4,a6] |
j |
-22724271869580547993/2217684344832 |
j-invariant |
L |
0.5479764219054 |
L(r)(E,1)/r! |
Ω |
0.13699410448245 |
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 |
22506bd1 6138m1 |
Quadratic twists by: -3 -11 |