Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bg |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
5.9285550530255E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2706660,1251788800] |
[a1,a2,a3,a4,a6] |
Generators |
[-1567:41324:1] |
Generators of the group modulo torsion |
j |
3008135455728568925761/813244863240810000 |
j-invariant |
L |
4.6898420290974 |
L(r)(E,1)/r! |
Ω |
0.15226781668253 |
Real period |
R |
0.48124930925592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001423 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030bh4 |
Quadratic twists by: -3 |