Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744bd |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
204321488896 = 215 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1804,19920] |
[a1,a2,a3,a4,a6] |
Generators |
[5:105:1] |
Generators of the group modulo torsion |
j |
19814511816/6235397 |
j-invariant |
L |
5.8581059874007 |
L(r)(E,1)/r! |
Ω |
0.92716963538639 |
Real period |
R |
2.1060892432985 |
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 |
23744u2 11872c2 |
Quadratic twists by: -4 8 |