Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
76531435200 = 26 · 33 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108940,13876150] |
[a1,a2,a3,a4,a6] |
Generators |
[675:15730:1] |
Generators of the group modulo torsion |
j |
1261112198464/675 |
j-invariant |
L |
5.6174250387362 |
L(r)(E,1)/r! |
Ω |
0.89286513403274 |
Real period |
R |
3.1457298836392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999947242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160et1 58080cb4 960d1 |
Quadratic twists by: -4 8 -11 |