Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fm |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1028922628800 = 26 · 3 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11656,485806] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:484:1] |
Generators of the group modulo torsion |
j |
1544804416/9075 |
j-invariant |
L |
4.9431711795898 |
L(r)(E,1)/r! |
Ω |
0.88079993513586 |
Real period |
R |
2.8060692089842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hw1 58080bb2 10560bj1 |
Quadratic twists by: -4 8 -11 |