Atkin-Lehner |
3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449x |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5654880 |
Modular degree for the optimal curve |
Δ |
-8.7947697542464E+19 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 6 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10110954,-12382969622] |
[a1,a2,a3,a4,a6] |
Generators |
[442674855256:95870896384594:9393931] |
Generators of the group modulo torsion |
j |
-3899392/3 |
j-invariant |
L |
8.3060115675303 |
L(r)(E,1)/r! |
Ω |
0.04233031376858 |
Real period |
R |
16.35158280214 |
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 |
42483e1 127449bu1 127449r1 |
Quadratic twists by: -3 -7 17 |