Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312m |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38681036417138688 = 220 · 39 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348204,-78517712] |
[a1,a2,a3,a4,a6] |
j |
24431916147913/202409388 |
j-invariant |
L |
0.78653513270258 |
L(r)(E,1)/r! |
Ω |
0.19663378317565 |
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 |
21312bs3 666f3 7104g4 |
Quadratic twists by: -4 8 -3 |