Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456o |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
564395019264 = 210 · 36 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2259,20034] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-522:1] |
Generators of the group modulo torsion |
j |
1707831108/756059 |
j-invariant |
L |
4.5803001348189 |
L(r)(E,1)/r! |
Ω |
0.82827708672961 |
Real period |
R |
0.4608260731965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728h1 14384a1 |
Quadratic twists by: -4 -3 |