Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744bh |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1361575936 = -1 · 219 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 1 7- 3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,-2928] |
[a1,a2,a3,a4,a6] |
j |
-15438249/5194 |
j-invariant |
L |
2.1994223785698 |
L(r)(E,1)/r! |
Ω |
0.54985559464246 |
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 |
23744d1 5936n1 |
Quadratic twists by: -4 8 |