Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18768g |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-22216507392 = -1 · 216 · 3 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2771968,1777282048] |
[a1,a2,a3,a4,a6] |
j |
-575080389302194842625/5423952 |
j-invariant |
L |
1.2027737865911 |
L(r)(E,1)/r! |
Ω |
0.60138689329553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346k2 75072co2 56304bu2 |
Quadratic twists by: -4 8 -3 |