Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820f |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
49169686595040000 = 28 · 316 · 54 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167225943,832345419742] |
[a1,a2,a3,a4,a6] |
Generators |
[262331132:-16139446875:21952] |
Generators of the group modulo torsion |
j |
2771195591517219529266256/263469256875 |
j-invariant |
L |
5.0819084655609 |
L(r)(E,1)/r! |
Ω |
0.20034802209336 |
Real period |
R |
12.682701701934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940q2 |
Quadratic twists by: -3 |