Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730b |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-13173327596000 = -1 · 25 · 53 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-113258,-14719052] |
[a1,a2,a3,a4,a6] |
j |
-90694355177089/7436000 |
j-invariant |
L |
0.52048676733498 |
L(r)(E,1)/r! |
Ω |
0.13012169183375 |
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 |
125840be1 78650ce1 1430e1 |
Quadratic twists by: -4 5 -11 |