Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488ci |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
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 |
2.4694292818626 |
L(r)(E,1)/r! |
Ω |
0.049388585701255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bh1 13872l1 55488ee1 |
Quadratic twists by: -4 8 17 |