Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376u |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
65060864 = 214 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 -2 0 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209,1169] |
[a1,a2,a3,a4,a6] |
j |
61918288/3971 |
j-invariant |
L |
1.9263718748936 |
L(r)(E,1)/r! |
Ω |
1.9263718748936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13376d2 3344f2 120384cx2 |
Quadratic twists by: -4 8 -3 |