Atkin-Lehner |
3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005q |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
-25426635872445 = -1 · 36 · 5 · 178 |
Discriminant |
Eigenvalues |
-1 3- 5- -5 -2 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6448,-139944] |
[a1,a2,a3,a4,a6] |
j |
5831/5 |
j-invariant |
L |
1.1092727341342 |
L(r)(E,1)/r! |
Ω |
0.36975757804472 |
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 |
1445b1 65025ca1 13005j1 |
Quadratic twists by: -3 5 17 |