Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518v |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
6889312020096 = 27 · 315 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 11- -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146295,-21500451] |
[a1,a2,a3,a4,a6] |
j |
3925553794409401/78102144 |
j-invariant |
L |
0.48822784311891 |
L(r)(E,1)/r! |
Ω |
0.24411393036862 |
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 |
22506bl1 67518ca1 |
Quadratic twists by: -3 -11 |