Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720b |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-22330474496000 = -1 · 227 · 53 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11+ 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12481,578719] |
[a1,a2,a3,a4,a6] |
Generators |
[27:512:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
4.9487596443408 |
L(r)(E,1)/r! |
Ω |
0.66073471268093 |
Real period |
R |
0.93622287987977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720bq1 1210k1 38720a1 |
Quadratic twists by: -4 8 -11 |