Atkin-Lehner |
7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563a |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-31217947063243787 = -1 · 73 · 1112 · 29 |
Discriminant |
Eigenvalues |
0 1 0 7+ 11- -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,62517,6026323] |
[a1,a2,a3,a4,a6] |
j |
15252992000000/17621717267 |
j-invariant |
L |
0.49438456172441 |
L(r)(E,1)/r! |
Ω |
0.24719228086224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2233b2 |
Quadratic twists by: -11 |