Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12584d |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
25168 = 24 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 2 2 11- 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
22528/13 |
j-invariant |
L |
6.4470193627788 |
L(r)(E,1)/r! |
Ω |
3.2097992915656 |
Real period |
R |
1.0042714165524 |
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 |
25168i1 100672s1 113256bv1 12584i1 |
Quadratic twists by: -4 8 -3 -11 |