Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20172a |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1291008 = 28 · 3 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4988,-133944] |
[a1,a2,a3,a4,a6] |
Generators |
[4933:346400:1] [-2588:5:64] |
Generators of the group modulo torsion |
j |
31899394000/3 |
j-invariant |
L |
6.2044113889759 |
L(r)(E,1)/r! |
Ω |
0.56808155772788 |
Real period |
R |
10.921691268752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688w2 60516i2 20172g2 |
Quadratic twists by: -4 -3 41 |