Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dy |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2075439520088064000 = 219 · 38 · 53 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-688908,-208885232] |
[a1,a2,a3,a4,a6] |
Generators |
[962:4320:1] |
Generators of the group modulo torsion |
j |
189208196468929/10860320250 |
j-invariant |
L |
4.4820464009139 |
L(r)(E,1)/r! |
Ω |
0.16630773333375 |
Real period |
R |
3.3687898264469 |
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 |
37440bg4 9360cb4 12480cy4 |
Quadratic twists by: -4 8 -3 |