Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048x |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
135998134272 = 211 · 36 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288,980] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:126:1] |
Generators of the group modulo torsion |
j |
115472479250/66405339 |
j-invariant |
L |
7.9446308763289 |
L(r)(E,1)/r! |
Ω |
0.88486241572749 |
Real period |
R |
0.74819832016812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024a2 |
Quadratic twists by: -4 |