Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bg |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1048576 |
Modular degree for the optimal curve |
Δ |
246052009082880 = 216 · 37 · 5 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-966420,-365434160] |
[a1,a2,a3,a4,a6] |
Generators |
[-567:308:1] |
Generators of the group modulo torsion |
j |
136928598728730419521/337519902720 |
j-invariant |
L |
4.6898420290974 |
L(r)(E,1)/r! |
Ω |
0.15226781668253 |
Real period |
R |
1.9249972370237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000056919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bh1 |
Quadratic twists by: -3 |