Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830o |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-30079915291008000 = -1 · 210 · 33 · 53 · 116 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4209,-8344035] |
[a1,a2,a3,a4,a6] |
j |
-305460292990923/1114070936704000 |
j-invariant |
L |
1.0124436987059 |
L(r)(E,1)/r! |
Ω |
0.16874061645098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16830bj3 84150eh1 |
Quadratic twists by: -3 5 |