Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104bf |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-76272402363236352 = -1 · 214 · 39 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129195,22271706] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:5616:1] |
Generators of the group modulo torsion |
j |
-2958077788875/946054564 |
j-invariant |
L |
4.7074117593223 |
L(r)(E,1)/r! |
Ω |
0.32526691119416 |
Real period |
R |
0.60301908951737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1638m4 52416do4 13104bg2 91728ch4 |
Quadratic twists by: -4 8 -3 -7 |