Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440eu |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
49686773760 = 220 · 36 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-798732,-274757616] |
[a1,a2,a3,a4,a6] |
j |
294889639316481/260 |
j-invariant |
L |
1.2775834305791 |
L(r)(E,1)/r! |
Ω |
0.15969792882488 |
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 |
37440by4 9360bl3 4160j3 |
Quadratic twists by: -4 8 -3 |