Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2832b |
Isogeny class |
Conductor |
2832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
104398848 = 216 · 33 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-552,4788] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:96:1] |
Generators of the group modulo torsion |
j |
4549540393/25488 |
j-invariant |
L |
4.0977160435744 |
L(r)(E,1)/r! |
Ω |
1.8952895656776 |
Real period |
R |
0.72068425458238 |
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 |
354d1 11328o1 8496v1 70800v1 |
Quadratic twists by: -4 8 -3 5 |