Atkin-Lehner |
3- 5+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18705g |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2412945 = 32 · 5 · 29 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-776,-8385] |
[a1,a2,a3,a4,a6] |
Generators |
[3604:21031:64] |
Generators of the group modulo torsion |
j |
51682540549249/2412945 |
j-invariant |
L |
4.1844286206305 |
L(r)(E,1)/r! |
Ω |
0.90454968375448 |
Real period |
R |
4.6259798613409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115o2 93525a2 |
Quadratic twists by: -3 5 |