Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bd |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
1.7696715879368E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6621281,-1426329375] |
[a1,a2,a3,a4,a6] |
j |
571305535801/314928000 |
j-invariant |
L |
0.20141435688918 |
L(r)(E,1)/r! |
Ω |
0.10070692435499 |
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 |
116160ih1 3630m1 116160be1 |
Quadratic twists by: -4 8 -11 |