Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550ca |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
-58812000000 = -1 · 28 · 3 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1688,28992] |
[a1,a2,a3,a4,a6] |
j |
-34043726521/3763968 |
j-invariant |
L |
8.6584034192139 |
L(r)(E,1)/r! |
Ω |
1.0823004269947 |
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 |
2262a1 |
Quadratic twists by: 5 |