Atkin-Lehner |
2- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19780c |
Isogeny class |
Conductor |
19780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-34021600000 = -1 · 28 · 55 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 -4 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,8935] |
[a1,a2,a3,a4,a6] |
Generators |
[9:86:1] |
Generators of the group modulo torsion |
j |
-7710244864/132896875 |
j-invariant |
L |
3.9973431331957 |
L(r)(E,1)/r! |
Ω |
0.98169902305087 |
Real period |
R |
0.67864369821023 |
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 |
79120m1 98900g1 |
Quadratic twists by: -4 5 |