Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816a |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2903513573376 = 211 · 32 · 13 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6152,168720] |
[a1,a2,a3,a4,a6] |
Generators |
[32:60:1] |
Generators of the group modulo torsion |
j |
12575154579986/1417731237 |
j-invariant |
L |
6.9861843865287 |
L(r)(E,1)/r! |
Ω |
0.77779426507627 |
Real period |
R |
2.2455116668426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18408e3 110448n3 |
Quadratic twists by: -4 -3 |