Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720cy |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2180710400 = 216 · 52 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-865,-9825] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:16:1] |
Generators of the group modulo torsion |
j |
821516/25 |
j-invariant |
L |
3.4711512522061 |
L(r)(E,1)/r! |
Ω |
0.88188591173354 |
Real period |
R |
0.98401369327405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720ba2 9680c2 38720cx2 |
Quadratic twists by: -4 8 -11 |