Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830cp |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
580677497433000000 = 26 · 37 · 56 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-214592,-10892509] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:3529:1] |
Generators of the group modulo torsion |
j |
1499114720492202169/796539777000000 |
j-invariant |
L |
8.4908219438311 |
L(r)(E,1)/r! |
Ω |
0.23562051177863 |
Real period |
R |
3.0030004178245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5610n3 84150bf3 |
Quadratic twists by: -3 5 |