Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dc |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
521756235000 = 23 · 36 · 54 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2018,-2519] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:161:1] |
Generators of the group modulo torsion |
j |
1246114341081/715715000 |
j-invariant |
L |
10.577620490144 |
L(r)(E,1)/r! |
Ω |
0.77389478898868 |
Real period |
R |
1.139002855002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j2 |
Quadratic twists by: -3 |