Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075a |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1308674246541796875 = 3 · 58 · 138 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13704875,-19533767250] |
[a1,a2,a3,a4,a6] |
Generators |
[5013149601121977386740:-1275014256086736182170845:77546389633569856] |
Generators of the group modulo torsion |
j |
18219186097592883464881/83755151778675 |
j-invariant |
L |
4.7544570178833 |
L(r)(E,1)/r! |
Ω |
0.078465889196246 |
Real period |
R |
30.296330460184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225h6 7215j5 |
Quadratic twists by: -3 5 |