Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568p |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-106376171326844928 = -1 · 212 · 3 · 179 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -6 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161013,29458749] |
[a1,a2,a3,a4,a6] |
Generators |
[7633236:195425855:59319] |
Generators of the group modulo torsion |
j |
-112706583998464000/25970744952843 |
j-invariant |
L |
4.2297071139318 |
L(r)(E,1)/r! |
Ω |
0.31950776073409 |
Real period |
R |
13.238198359215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3723c3 |
Quadratic twists by: -4 |