Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090r |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2268901685681E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-576675,3459861] |
[a1,a2,a3,a4,a6] |
Generators |
[-698:8445:1] [-687:9006:1] |
Generators of the group modulo torsion |
j |
29093098699171306801/16829769116160000 |
j-invariant |
L |
7.9223344212914 |
L(r)(E,1)/r! |
Ω |
0.19079924194982 |
Real period |
R |
5.1902292303367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996708 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030by2 |
Quadratic twists by: -3 |