Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104m |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-832156416 = -1 · 28 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,1388] |
[a1,a2,a3,a4,a6] |
j |
-1024/4459 |
j-invariant |
L |
2.5439027315648 |
L(r)(E,1)/r! |
Ω |
1.2719513657824 |
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 |
6552i1 52416ff1 1456b1 91728bl1 |
Quadratic twists by: -4 8 -3 -7 |