Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110by |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
4205635501667600 = 24 · 52 · 73 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114771,14588993] |
[a1,a2,a3,a4,a6] |
Generators |
[81:2374:1] |
Generators of the group modulo torsion |
j |
70906537619/1783600 |
j-invariant |
L |
15.27381806691 |
L(r)(E,1)/r! |
Ω |
0.43708192187344 |
Real period |
R |
2.9120814901873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110110f1 |
Quadratic twists by: -11 |