Atkin-Lehner |
2- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12784d |
Isogeny class |
Conductor |
12784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
44453138432 = 212 · 173 · 472 |
Discriminant |
Eigenvalues |
2- -2 0 2 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1888,-30540] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:34:1] |
Generators of the group modulo torsion |
j |
181802454625/10852817 |
j-invariant |
L |
3.1251934380783 |
L(r)(E,1)/r! |
Ω |
0.72693868444538 |
Real period |
R |
0.71651926656022 |
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 |
799b1 51136k1 115056v1 |
Quadratic twists by: -4 8 -3 |