Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002n |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
642816 |
Modular degree for the optimal curve |
Δ |
400149661184 = 29 · 77 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129312,-17951935] |
[a1,a2,a3,a4,a6] |
Generators |
[-5613:2891:27] |
Generators of the group modulo torsion |
j |
2032601155983217/3401216 |
j-invariant |
L |
13.187043321515 |
L(r)(E,1)/r! |
Ω |
0.25176182240195 |
Real period |
R |
1.4549734157471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286m1 |
Quadratic twists by: -7 |