Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45552h |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
99622224 = 24 · 38 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,-1736] |
[a1,a2,a3,a4,a6] |
Generators |
[81228:507745:1728] |
Generators of the group modulo torsion |
j |
167416840192/6226389 |
j-invariant |
L |
5.2226624228749 |
L(r)(E,1)/r! |
Ω |
1.1602262943357 |
Real period |
R |
9.0028340994742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11388c1 |
Quadratic twists by: -4 |