Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744v |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6656133741179568128 = 223 · 710 · 532 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30659361,-65331714367] |
[a1,a2,a3,a4,a6] |
j |
12158306898176952482761/25391135182112 |
j-invariant |
L |
6.2876000515574 |
L(r)(E,1)/r! |
Ω |
0.064159184199565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744m2 5936l2 |
Quadratic twists by: -4 8 |