Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376d |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-2354176 = -1 · 210 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
131072/2299 |
j-invariant |
L |
2.0668320005798 |
L(r)(E,1)/r! |
Ω |
1.2601824287302 |
Real period |
R |
1.6401053954247 |
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 |
13376u1 836b1 120384bi1 |
Quadratic twists by: -4 8 -3 |