Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
256015724101632000 = 217 · 317 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937185,-348047775] |
[a1,a2,a3,a4,a6] |
Generators |
[-197995:174740:343] |
Generators of the group modulo torsion |
j |
5739907130357378/16142520375 |
j-invariant |
L |
7.1335337263718 |
L(r)(E,1)/r! |
Ω |
0.15346756323837 |
Real period |
R |
7.747059175834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999474311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ja1 14520p1 116160bv1 |
Quadratic twists by: -4 8 -11 |