Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130b |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
318337564062500 = 22 · 58 · 172 · 893 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21770,895200] |
[a1,a2,a3,a4,a6] |
j |
1141064569687705209/318337564062500 |
j-invariant |
L |
1.0124221409727 |
L(r)(E,1)/r! |
Ω |
0.50621107048635 |
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 |
121040n1 75650s1 |
Quadratic twists by: -4 5 |