Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585q |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
129811002387314625 = 35 · 53 · 1310 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-848718595,9516789475400] |
[a1,a2,a3,a4,a6] |
Generators |
[16820:-8350:1] |
Generators of the group modulo torsion |
j |
14007310336277804358074809/26893751625 |
j-invariant |
L |
4.830405527205 |
L(r)(E,1)/r! |
Ω |
0.1508533578902 |
Real period |
R |
2.1347024656018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6045j4 |
Quadratic twists by: 13 |