Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420s |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1572455566080 = -1 · 28 · 36 · 5 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3288,94372] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:378:1] |
Generators of the group modulo torsion |
j |
-21064523776/8425795 |
j-invariant |
L |
4.8250428264579 |
L(r)(E,1)/r! |
Ω |
0.79370781522687 |
Real period |
R |
1.013186198979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85680ec2 2380a2 107100z2 |
Quadratic twists by: -4 -3 5 |