Atkin-Lehner |
2+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816x |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-71991296 = -1 · 215 · 133 |
Discriminant |
Eigenvalues |
2+ -3 -3 -1 -4 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,2704] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:8:1] [0:52:1] |
Generators of the group modulo torsion |
j |
-74088 |
j-invariant |
L |
3.3343969361373 |
L(r)(E,1)/r! |
Ω |
1.9507572664832 |
Real period |
R |
0.21366042007297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816v1 5408f1 97344dj1 10816w1 |
Quadratic twists by: -4 8 -3 13 |