Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fu |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
505107472320 = 26 · 34 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9236,343026] |
[a1,a2,a3,a4,a6] |
Generators |
[72741:3772538:27] |
Generators of the group modulo torsion |
j |
768575296/4455 |
j-invariant |
L |
7.1942913219936 |
L(r)(E,1)/r! |
Ω |
0.93459907392451 |
Real period |
R |
7.6977300004877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ic1 58080cf3 10560bl1 |
Quadratic twists by: -4 8 -11 |