Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640j |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1114560000 = 29 · 34 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37160,2744808] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:2310:1] |
Generators of the group modulo torsion |
j |
11083898859981128/2176875 |
j-invariant |
L |
6.9361395662532 |
L(r)(E,1)/r! |
Ω |
1.2231907861242 |
Real period |
R |
2.8352648028977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20640s2 41280j4 61920bp4 103200bs4 |
Quadratic twists by: -4 8 -3 5 |