Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472bg |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.6716034911667E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344091,-3289366582] |
[a1,a2,a3,a4,a6] |
j |
-1508885121286873/1564510557044736 |
j-invariant |
L |
2.2310928304957 |
L(r)(E,1)/r! |
Ω |
0.061974800797143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7434h2 19824p2 |
Quadratic twists by: -4 -3 |