Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680cj |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-40404152775168000 = -1 · 212 · 34 · 53 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83855,-2457025] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1365:1] |
Generators of the group modulo torsion |
j |
15920088397694144/9864295111125 |
j-invariant |
L |
8.453886603342 |
L(r)(E,1)/r! |
Ω |
0.20941857930153 |
Real period |
R |
0.841007699302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680d2 87360q1 |
Quadratic twists by: -4 8 |