Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600t |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3175524000000 = 28 · 38 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9975,373750] |
[a1,a2,a3,a4,a6] |
j |
37642192/1089 |
j-invariant |
L |
3.1772341840515 |
L(r)(E,1)/r! |
Ω |
0.79430854599796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19800n2 13200bb2 1584c2 |
Quadratic twists by: -4 -3 5 |