Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bh |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-7134489518030585856 = -1 · 217 · 33 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 3 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5456705,4906048287] |
[a1,a2,a3,a4,a6] |
j |
-68001122/27 |
j-invariant |
L |
1.3903063900032 |
L(r)(E,1)/r! |
Ω |
0.2317177319962 |
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 |
55488ci1 6936g1 55488s1 |
Quadratic twists by: -4 8 17 |