Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024q |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
300445280036149248 = 211 · 34 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173272,-8730832] |
[a1,a2,a3,a4,a6] |
j |
280919205273423026/146701796892651 |
j-invariant |
L |
3.966151069492 |
L(r)(E,1)/r! |
Ω |
0.24788444184325 |
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 |
48048a3 72072bi3 |
Quadratic twists by: -4 -3 |