Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376v |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1205338112 = -1 · 219 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3 2 -1 11- 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,3152] |
[a1,a2,a3,a4,a6] |
j |
-20346417/4598 |
j-invariant |
L |
5.8739642845368 |
L(r)(E,1)/r! |
Ω |
1.4684910711342 |
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 |
13376e1 3344g1 120384db1 |
Quadratic twists by: -4 8 -3 |