Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376b |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
103583744 = 212 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33716,2382880] |
[a1,a2,a3,a4,a6] |
Generators |
[88:312:1] |
Generators of the group modulo torsion |
j |
1034836884153792/25289 |
j-invariant |
L |
4.0140968784728 |
L(r)(E,1)/r! |
Ω |
1.370159605921 |
Real period |
R |
2.9296564145712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13376i1 6688d1 120384bk1 |
Quadratic twists by: -4 8 -3 |