Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24854c |
Isogeny class |
Conductor |
24854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
382976 |
Modular degree for the optimal curve |
Δ |
56132859812595968 = 28 · 179 · 432 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-215456,36748782] |
[a1,a2,a3,a4,a6] |
j |
9327307625/473344 |
j-invariant |
L |
0.69694050064876 |
L(r)(E,1)/r! |
Ω |
0.34847025032441 |
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 |
24854b1 |
Quadratic twists by: 17 |