Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fh |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8598594319810560 = 230 · 36 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119532,-15268016] |
[a1,a2,a3,a4,a6] |
j |
988345570681/44994560 |
j-invariant |
L |
4.6347150591544 |
L(r)(E,1)/r! |
Ω |
0.25748416995253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cl3 9360br3 4160n3 |
Quadratic twists by: -4 8 -3 |