Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
124499638084800 = 26 · 3 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16980,666822] |
[a1,a2,a3,a4,a6] |
Generators |
[922:3815:8] |
Generators of the group modulo torsion |
j |
4775581504/1098075 |
j-invariant |
L |
6.0672130850019 |
L(r)(E,1)/r! |
Ω |
0.55309148561848 |
Real period |
R |
5.4848187530556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ea1 58080bv3 10560k1 |
Quadratic twists by: -4 8 -11 |