Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050cn |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
564300000000 = 28 · 33 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2180,-14553] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:165:1] |
Generators of the group modulo torsion |
j |
108588195/53504 |
j-invariant |
L |
8.6994656938578 |
L(r)(E,1)/r! |
Ω |
0.73478135504857 |
Real period |
R |
0.24665686915822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050h1 94050a1 |
Quadratic twists by: -3 5 |