Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864u |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1896873984 = 220 · 33 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2369,43551] |
[a1,a2,a3,a4,a6] |
Generators |
[25:24:1] |
Generators of the group modulo torsion |
j |
5611284433/7236 |
j-invariant |
L |
5.6516474127431 |
L(r)(E,1)/r! |
Ω |
1.476946750281 |
Real period |
R |
1.2755249778341 |
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 |
12864bb1 402c1 38592bc1 |
Quadratic twists by: -4 8 -3 |