Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200g |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2790000000000 = 210 · 32 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149008,-22089488] |
[a1,a2,a3,a4,a6] |
j |
22868380035364/174375 |
j-invariant |
L |
3.8879180008451 |
L(r)(E,1)/r! |
Ω |
0.24299487505082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18600ba4 111600bs4 7440h3 |
Quadratic twists by: -4 -3 5 |