Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280t |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2836933862400 = 210 · 32 · 52 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6040,159488] |
[a1,a2,a3,a4,a6] |
j |
23801617542244/2770443225 |
j-invariant |
L |
3.1141065961014 |
L(r)(E,1)/r! |
Ω |
0.77852664901948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560f2 114840e2 |
Quadratic twists by: -4 -3 |