Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440da |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18137659893350400 = -1 · 224 · 39 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56052,-3986928] |
[a1,a2,a3,a4,a6] |
j |
3774555693/3515200 |
j-invariant |
L |
3.3961088885558 |
L(r)(E,1)/r! |
Ω |
0.21225680553432 |
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 |
37440e3 9360bh3 37440dk1 |
Quadratic twists by: -4 8 -3 |