Atkin-Lehner |
2- 3- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714p |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5091273794923008 = 29 · 3 · 7 · 118 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43008,-10752] |
[a1,a2,a3,a4,a6] |
Generators |
[272:2768:1] |
Generators of the group modulo torsion |
j |
8797759472746266625/5091273794923008 |
j-invariant |
L |
9.8032895796374 |
L(r)(E,1)/r! |
Ω |
0.36405361816059 |
Real period |
R |
0.74800410118228 |
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 |
65142i2 |
Quadratic twists by: -3 |