Atkin-Lehner |
2- 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21714q |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
38191321476 = 22 · 36 · 72 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2057,34485] |
[a1,a2,a3,a4,a6] |
j |
962586536001553/38191321476 |
j-invariant |
L |
6.8570285010316 |
L(r)(E,1)/r! |
Ω |
1.1428380835053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65142h2 |
Quadratic twists by: -3 |