Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594k |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
34833158227300352 = 212 · 17 · 298 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-232554,42201508] |
[a1,a2,a3,a4,a6] |
j |
2338337977417/58560512 |
j-invariant |
L |
2.1989871147143 |
L(r)(E,1)/r! |
Ω |
0.3664978524526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
986c1 |
Quadratic twists by: 29 |