Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084g |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7385075212927636224 = -1 · 28 · 32 · 77 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448709,174732657] |
[a1,a2,a3,a4,a6] |
Generators |
[3722:65219:8] |
Generators of the group modulo torsion |
j |
-331734634528768/245203529571 |
j-invariant |
L |
6.865271379059 |
L(r)(E,1)/r! |
Ω |
0.21623213236911 |
Real period |
R |
1.9843464357024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12012g2 |
Quadratic twists by: -7 |