Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420z |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-113083755750000 = -1 · 24 · 39 · 56 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7579857,8032294681] |
[a1,a2,a3,a4,a6] |
j |
-4129136485161788072704/9695109375 |
j-invariant |
L |
4.6532371199095 |
L(r)(E,1)/r! |
Ω |
0.3877697616405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28140n2 |
Quadratic twists by: -3 |