Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bs |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1404822362521600 = 218 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32428,1341648] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:38080:27] |
Generators of the group modulo torsion |
j |
8120601/3025 |
j-invariant |
L |
4.756889914419 |
L(r)(E,1)/r! |
Ω |
0.43862630046123 |
Real period |
R |
5.4224859628991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38720c2 9680w2 3520o2 |
Quadratic twists by: -4 8 -11 |