Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744n |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
322158592 = 214 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-912] |
[a1,a2,a3,a4,a6] |
Generators |
[836:24168:1] |
Generators of the group modulo torsion |
j |
71874000/19663 |
j-invariant |
L |
5.1364240523625 |
L(r)(E,1)/r! |
Ω |
1.2651181413536 |
Real period |
R |
4.0600350943247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744x2 1484c2 |
Quadratic twists by: -4 8 |