Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768g |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
10188864 = 26 · 32 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134,624] |
[a1,a2,a3,a4,a6] |
Generators |
[14:36:1] |
Generators of the group modulo torsion |
j |
4188852928/159201 |
j-invariant |
L |
3.882453571822 |
L(r)(E,1)/r! |
Ω |
2.2704021849565 |
Real period |
R |
1.7100289973058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12768h1 25536de2 38304bq1 89376s1 |
Quadratic twists by: -4 8 -3 -7 |