Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160t |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
43356487680 = 215 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3681,-84159] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:4:1] [-35:24:1] |
Generators of the group modulo torsion |
j |
1391566088/10935 |
j-invariant |
L |
9.1540080445856 |
L(r)(E,1)/r! |
Ω |
0.61320269883885 |
Real period |
R |
3.7320481723721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160dc1 58080ce1 116160s1 |
Quadratic twists by: -4 8 -11 |