Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bt |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7119160424650023750 = 2 · 312 · 54 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501984,47668338] |
[a1,a2,a3,a4,a6] |
Generators |
[-693:8244:1] |
Generators of the group modulo torsion |
j |
19189616478708469249/9765652160013750 |
j-invariant |
L |
5.7856213840752 |
L(r)(E,1)/r! |
Ω |
0.20822111377042 |
Real period |
R |
1.7366218519809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bm2 |
Quadratic twists by: -3 |