Atkin-Lehner |
2- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472n |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
717120 |
Modular degree for the optimal curve |
Δ |
7.3941937465048E+19 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 11+ 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164296,250321164] |
[a1,a2,a3,a4,a6] |
Generators |
[66:13182:1] |
Generators of the group modulo torsion |
j |
681826635775730737152/288835693222845197 |
j-invariant |
L |
3.7209052752543 |
L(r)(E,1)/r! |
Ω |
0.17526945604105 |
Real period |
R |
1.1794237536045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868e1 |
Quadratic twists by: -4 |