Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800gr |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-89954304000000 = -1 · 217 · 3 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8767,-326337] |
[a1,a2,a3,a4,a6] |
j |
36382894/43923 |
j-invariant |
L |
2.5907855930277 |
L(r)(E,1)/r! |
Ω |
0.32384819911227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800c3 13200a4 2112w4 |
Quadratic twists by: -4 8 5 |