Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376p |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-27195441152 = -1 · 215 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 2 1 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,-8447] |
[a1,a2,a3,a4,a6] |
Generators |
[91:836:1] |
Generators of the group modulo torsion |
j |
-245314376/829939 |
j-invariant |
L |
4.6743385581407 |
L(r)(E,1)/r! |
Ω |
0.48563128627936 |
Real period |
R |
0.80210691564527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13376r1 6688c1 120384dt1 |
Quadratic twists by: -4 8 -3 |