Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376s |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22901424128 = -1 · 219 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,404,-6576] |
[a1,a2,a3,a4,a6] |
j |
27818127/87362 |
j-invariant |
L |
1.2303820368763 |
L(r)(E,1)/r! |
Ω |
0.61519101843815 |
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 |
13376a2 3344d2 120384cz2 |
Quadratic twists by: -4 8 -3 |