Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440di |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2047032000 = -1 · 26 · 39 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1512,22734] |
[a1,a2,a3,a4,a6] |
Generators |
[3:135:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
6.6454295573205 |
L(r)(E,1)/r! |
Ω |
1.4789871123285 |
Real period |
R |
0.74887169986422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440q2 9360ba2 37440cy1 |
Quadratic twists by: -4 8 -3 |