Atkin-Lehner |
2- 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13416j |
Isogeny class |
Conductor |
13416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
719956224 = 28 · 32 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-564,-5184] |
[a1,a2,a3,a4,a6] |
j |
77640952912/2812329 |
j-invariant |
L |
1.9634141249974 |
L(r)(E,1)/r! |
Ω |
0.98170706249869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26832e2 107328a2 40248n2 |
Quadratic twists by: -4 8 -3 |