Atkin-Lehner |
2- 5- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050p |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
9959040 |
Modular degree for the optimal curve |
Δ |
4.0898743044565E+24 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -5 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40467513,-18725934983] |
[a1,a2,a3,a4,a6] |
j |
18762176744942651640625/10470078219408637952 |
j-invariant |
L |
1.2208624543203 |
L(r)(E,1)/r! |
Ω |
0.064255918642863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45050c1 |
Quadratic twists by: 5 |