Atkin-Lehner |
2+ 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456g |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
54359092224 = 210 · 310 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -2 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6339,-193934] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:18:1] [-45:14:1] |
Generators of the group modulo torsion |
j |
37736227588/72819 |
j-invariant |
L |
9.0376411265006 |
L(r)(E,1)/r! |
Ω |
0.5351120260102 |
Real period |
R |
4.2223126574168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728f1 43152h1 |
Quadratic twists by: -4 -3 |