Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200u |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6204214476800 = -1 · 227 · 52 · 432 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 1 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194515,-33020270] |
[a1,a2,a3,a4,a6] |
j |
-7948461006944145/60588032 |
j-invariant |
L |
0.90932906558941 |
L(r)(E,1)/r! |
Ω |
0.11366613319868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150e1 68800du1 17200bj1 |
Quadratic twists by: -4 8 5 |