Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bp |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.8223251830762E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25422192,-59578550784] |
[a1,a2,a3,a4,a6] |
Generators |
[12384:-1240992:1] |
Generators of the group modulo torsion |
j |
-159520003524722950201/42335913815758080 |
j-invariant |
L |
4.185230700456 |
L(r)(E,1)/r! |
Ω |
0.033157784202473 |
Real period |
R |
2.6296180027868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cn2 14490bm2 |
Quadratic twists by: -3 5 |