Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104z |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-2870090496 = -1 · 28 · 36 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612,-6372] |
[a1,a2,a3,a4,a6] |
j |
-135834624/15379 |
j-invariant |
L |
2.8613695615129 |
L(r)(E,1)/r! |
Ω |
0.47689492691881 |
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 |
6552g1 52416fv1 1456d1 91728v1 |
Quadratic twists by: -4 8 -3 -7 |