Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ey |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11645337600000000 = 220 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486732,130599056] |
[a1,a2,a3,a4,a6] |
j |
66730743078481/60937500 |
j-invariant |
L |
3.2003850426878 |
L(r)(E,1)/r! |
Ω |
0.4000481303449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cb4 9360bn4 12480bl3 |
Quadratic twists by: -4 8 -3 |