Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104cg |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-26629005312 = -1 · 213 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,477,-6750] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
3.6985631009483 |
L(r)(E,1)/r! |
Ω |
0.61642718349139 |
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 |
1638g1 52416gr1 1456k1 91728gg1 |
Quadratic twists by: -4 8 -3 -7 |