Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8460d |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18551358720 = -1 · 28 · 38 · 5 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,6622] |
[a1,a2,a3,a4,a6] |
j |
-3631696/99405 |
j-invariant |
L |
2.0482965225928 |
L(r)(E,1)/r! |
Ω |
1.0241482612964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840bn2 2820f2 42300i2 |
Quadratic twists by: -4 -3 5 |