Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714m |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
Δ |
29594966016 = 211 · 3 · 7 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157839818752,24136413486295040] |
[a1,a2,a3,a4,a6] |
j |
434884003110458089122232594329066012673/29594966016 |
j-invariant |
L |
6.8802924178572 |
L(r)(E,1)/r! |
Ω |
0.078185141112014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142n4 |
Quadratic twists by: -3 |