Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4938828618240000 = 212 · 32 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90185,-9830775] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:420:1] |
Generators of the group modulo torsion |
j |
11179320256/680625 |
j-invariant |
L |
6.0672130850019 |
L(r)(E,1)/r! |
Ω |
0.27654574280924 |
Real period |
R |
2.7424093765278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671194 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160ea2 58080bv1 10560k2 |
Quadratic twists by: -4 8 -11 |