Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892bl |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
2.3594382060518E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6085025,5728033464] |
[a1,a2,a3,a4,a6] |
Generators |
[-2579:65379:1] [-2465:75867:1] |
Generators of the group modulo torsion |
j |
4540427875681043464192/42992678681702739 |
j-invariant |
L |
11.554511055708 |
L(r)(E,1)/r! |
Ω |
0.17696024685573 |
Real period |
R |
0.27205995084255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122892p1 |
Quadratic twists by: -7 |