Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648h |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3351782877472512 = -1 · 28 · 36 · 7 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151623,22894650] |
[a1,a2,a3,a4,a6] |
j |
-2065624967846736/17960084863 |
j-invariant |
L |
3.5897380334245 |
L(r)(E,1)/r! |
Ω |
0.44871725417807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296bd2 2072e2 |
Quadratic twists by: -4 -3 |