Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cj |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16068753288811520 = 210 · 5 · 1112 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215541,-38102165] |
[a1,a2,a3,a4,a6] |
Generators |
[-7863:6292:27] |
Generators of the group modulo torsion |
j |
610462990336/8857805 |
j-invariant |
L |
1.9570959372038 |
L(r)(E,1)/r! |
Ω |
0.22176782193322 |
Real period |
R |
4.412488520973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720q3 9680bc3 3520u3 |
Quadratic twists by: -4 8 -11 |