Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714m |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
9.6432547823176E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9865203712,377113580361728] |
[a1,a2,a3,a4,a6] |
j |
106179795637493222287723845054431233/9643254782317606890236848128 |
j-invariant |
L |
6.8802924178572 |
L(r)(E,1)/r! |
Ω |
0.039092570556007 |
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 |
65142n3 |
Quadratic twists by: -3 |