Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dk |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-286847166147379200 = -1 · 214 · 33 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312341,71855859] |
[a1,a2,a3,a4,a6] |
Generators |
[214:3855:1] |
Generators of the group modulo torsion |
j |
-7929856/675 |
j-invariant |
L |
8.1419187150874 |
L(r)(E,1)/r! |
Ω |
0.30167521926731 |
Real period |
R |
4.4981701032705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ft1 7260i1 116160dn1 |
Quadratic twists by: -4 8 -11 |