Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13005j |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-1053405 = -1 · 36 · 5 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 5 2 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,-34] |
[a1,a2,a3,a4,a6] |
j |
5831/5 |
j-invariant |
L |
1.524549550151 |
L(r)(E,1)/r! |
Ω |
1.524549550151 |
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 |
1445c1 65025bm1 13005q1 |
Quadratic twists by: -3 5 17 |