Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400n |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
136993680000000 = 210 · 310 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17408,-687312] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:450:1] |
Generators of the group modulo torsion |
j |
36464923876/8562105 |
j-invariant |
L |
5.8694352887959 |
L(r)(E,1)/r! |
Ω |
0.42268614482782 |
Real period |
R |
1.388603662698 |
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 |
34800i1 52200bs1 3480o1 |
Quadratic twists by: -4 -3 5 |