Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808ce |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.2931943489919E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235525899,-1903634520410] |
[a1,a2,a3,a4,a6] |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
3.7638776655109 |
L(r)(E,1)/r! |
Ω |
0.018819388327941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616cj3 12936k4 5544t4 |
Quadratic twists by: -4 -3 -7 |