Atkin-Lehner |
2- 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178m |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
75984275874816 = 210 · 310 · 192 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51044,-4406137] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:205:1] |
Generators of the group modulo torsion |
j |
20175407128473337/104230831104 |
j-invariant |
L |
9.0817398554138 |
L(r)(E,1)/r! |
Ω |
0.31772333080374 |
Real period |
R |
2.8583799094765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6726c2 |
Quadratic twists by: -3 |