Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544k |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
785897202384 = 24 · 33 · 77 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2319,-4626] |
[a1,a2,a3,a4,a6] |
j |
733001728/417501 |
j-invariant |
L |
1.4878278412449 |
L(r)(E,1)/r! |
Ω |
0.74391404191491 |
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 |
55272bp1 15792i1 |
Quadratic twists by: -4 -7 |