Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816a |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48795042816 = 210 · 34 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1472,-18480] |
[a1,a2,a3,a4,a6] |
Generators |
[622:15470:1] |
Generators of the group modulo torsion |
j |
344700718852/47651409 |
j-invariant |
L |
6.9861843865287 |
L(r)(E,1)/r! |
Ω |
0.77779426507627 |
Real period |
R |
4.4910233336852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18408e2 110448n2 |
Quadratic twists by: -4 -3 |