Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
224099348552640 = 26 · 33 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26660,-1503918] |
[a1,a2,a3,a4,a6] |
j |
18483505984/1976535 |
j-invariant |
L |
1.5048402495476 |
L(r)(E,1)/r! |
Ω |
0.37620981595386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160it1 58080bw3 10560br1 |
Quadratic twists by: -4 8 -11 |