Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830cp |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
757124309700 = 22 · 39 · 52 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-168557,-26593711] |
[a1,a2,a3,a4,a6] |
Generators |
[786843:23206294:729] |
Generators of the group modulo torsion |
j |
726497538898787209/1038579300 |
j-invariant |
L |
8.4908219438311 |
L(r)(E,1)/r! |
Ω |
0.23562051177863 |
Real period |
R |
9.0090012534735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610n1 84150bf1 |
Quadratic twists by: -3 5 |