Atkin-Lehner |
2- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45584k |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1277194351476736 = 216 · 76 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47899,3650250] |
[a1,a2,a3,a4,a6] |
j |
2967174609669873/311815027216 |
j-invariant |
L |
0.93872239888102 |
L(r)(E,1)/r! |
Ω |
0.46936119953453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5698d2 |
Quadratic twists by: -4 |