Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520q |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
326292288400 = 24 · 52 · 138 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,-136865] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:47:1] [113:845:1] |
Generators of the group modulo torsion |
j |
1141504/25 |
j-invariant |
L |
5.4326063734416 |
L(r)(E,1)/r! |
Ω |
0.5649715931615 |
Real period |
R |
1.6026193290659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3380b1 54080cx1 121680er1 67600bo1 |
Quadratic twists by: -4 8 -3 5 |