Atkin-Lehner |
5+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13195h |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
2678585 = 5 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76,-249] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [19:63:1] |
Generators of the group modulo torsion |
j |
48587168449/2678585 |
j-invariant |
L |
3.0852314781583 |
L(r)(E,1)/r! |
Ω |
1.6223923142386 |
Real period |
R |
1.9016556298251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755u1 65975d1 92365i1 |
Quadratic twists by: -3 5 -7 |