Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775z |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1076555337079464675 = -1 · 311 · 52 · 796 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -6 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-198030,60353401] |
[a1,a2,a3,a4,a6] |
Generators |
[12962:505517:8] |
Generators of the group modulo torsion |
j |
-47124758495395840/59070251691603 |
j-invariant |
L |
3.4740862326822 |
L(r)(E,1)/r! |
Ω |
0.24946326049836 |
Real period |
R |
0.58026016632368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5925a2 17775bf2 |
Quadratic twists by: -3 5 |