Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fp |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
263247101152560 = 24 · 39 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1048487,-412967761] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:322:1] |
Generators of the group modulo torsion |
j |
30331970550889/62640 |
j-invariant |
L |
10.20577190534 |
L(r)(E,1)/r! |
Ω |
0.14919658354268 |
Real period |
R |
1.4251013144777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630bf1 127890fj1 |
Quadratic twists by: -3 -7 |