Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824f |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-521143461888 = -1 · 211 · 3 · 7 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-34860] |
[a1,a2,a3,a4,a6] |
j |
-997354514/254464581 |
j-invariant |
L |
1.6574154176087 |
L(r)(E,1)/r! |
Ω |
0.41435385440218 |
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 |
9912e4 79296bi3 59472n3 |
Quadratic twists by: -4 8 -3 |