Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376n |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2862678016 = 216 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,720] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:1540:27] |
Generators of the group modulo torsion |
j |
81385668/43681 |
j-invariant |
L |
5.8586524489326 |
L(r)(E,1)/r! |
Ω |
1.2506941947473 |
Real period |
R |
4.6843204946004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13376f2 3344a2 120384dw2 |
Quadratic twists by: -4 8 -3 |