Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48552u |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4328064 |
Modular degree for the optimal curve |
Δ |
-9.0402144657369E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17911160,32559875952] |
[a1,a2,a3,a4,a6] |
j |
-44480898716402/6327867987 |
j-invariant |
L |
3.5284361581673 |
L(r)(E,1)/r! |
Ω |
0.10377753406658 |
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 |
97104b1 48552b1 |
Quadratic twists by: -4 17 |