Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51442d |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
3847514397625290752 = 212 · 179 · 892 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-705937,-207699455] |
[a1,a2,a3,a4,a6] |
j |
328080696273/32444416 |
j-invariant |
L |
1.9890452674464 |
L(r)(E,1)/r! |
Ω |
0.16575377249262 |
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 |
51442c1 |
Quadratic twists by: 17 |