Atkin-Lehner |
3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21063b |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.8092937805213E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,689111,363775124] |
[a1,a2,a3,a4,a6] |
j |
36190219738402055564783/78092937805212640611 |
j-invariant |
L |
1.0716268017538 |
L(r)(E,1)/r! |
Ω |
0.13395335021922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63189g2 |
Quadratic twists by: -3 |