Atkin-Lehner |
2- 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28220b |
Isogeny class |
Conductor |
28220 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
761904 |
Modular degree for the optimal curve |
Δ |
9.1026156593073E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 5 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4671407,-3858945594] |
[a1,a2,a3,a4,a6] |
j |
44037927117173313853776/355570924191692375 |
j-invariant |
L |
3.3904945154325 |
L(r)(E,1)/r! |
Ω |
0.1027422580434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112880r1 |
Quadratic twists by: -4 |