Atkin-Lehner |
3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
21a |
Isogeny class |
Conductor |
21 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-63 = -1 · 32 · 7 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1,0] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
0.45111540538849 |
L(r)(E,1)/r! |
Ω |
3.6089232431079 |
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 |
336e1 1344a1 63a1 525b1 |
Quadratic twists by: -4 8 -3 5 |