Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600t |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
512317872000000 = 210 · 37 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23475,-854750] |
[a1,a2,a3,a4,a6] |
j |
122657188/43923 |
j-invariant |
L |
3.1772341840515 |
L(r)(E,1)/r! |
Ω |
0.39715427299898 |
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 |
19800n4 13200bb4 1584c3 |
Quadratic twists by: -4 -3 5 |