Atkin-Lehner |
2+ 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912f |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
206230583728382976 = 210 · 318 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1577019,-761947450] |
[a1,a2,a3,a4,a6] |
j |
581041302171984868/276264820881 |
j-invariant |
L |
2.4250752629876 |
L(r)(E,1)/r! |
Ω |
0.13472640348888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103824q2 17304d2 |
Quadratic twists by: -4 -3 |