Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024s |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1.1365533549957E+27 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284502856,883462666592] |
[a1,a2,a3,a4,a6] |
j |
2487045028568292644971936036/1109915385737984159120787 |
j-invariant |
L |
4.9167630966051 |
L(r)(E,1)/r! |
Ω |
0.043899670505403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048c2 72072bj2 |
Quadratic twists by: -4 -3 |