Atkin-Lehner |
3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73689w |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
20364507891189 = 35 · 77 · 112 · 292 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- -4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18355,926107] |
[a1,a2,a3,a4,a6] |
Generators |
[5:913:1] |
Generators of the group modulo torsion |
j |
5652299539972096/168301718109 |
j-invariant |
L |
7.4284533842182 |
L(r)(E,1)/r! |
Ω |
0.68009754901067 |
Real period |
R |
0.15603756076829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73689u1 |
Quadratic twists by: -11 |