Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ci |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-413189865320759296 = -1 · 214 · 76 · 118 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,172143,-14110769] |
[a1,a2,a3,a4,a6] |
Generators |
[307:8232:1] |
Generators of the group modulo torsion |
j |
160630448/117649 |
j-invariant |
L |
2.8104977023356 |
L(r)(E,1)/r! |
Ω |
0.1677144937027 |
Real period |
R |
2.0947039521098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bl2 13552q2 54208de2 |
Quadratic twists by: -4 8 -11 |