Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730l |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
278666545300000000 = 28 · 58 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 11- 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163352,-906176] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:4936:1] |
Generators of the group modulo torsion |
j |
2248846192681/1300000000 |
j-invariant |
L |
2.3635101966124 |
L(r)(E,1)/r! |
Ω |
0.25973439303043 |
Real period |
R |
0.18957749564182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840cg1 78650cf1 15730bb1 |
Quadratic twists by: -4 5 -11 |