Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564i |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-117852297472 = -1 · 28 · 77 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 7- 1 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1225,686] |
[a1,a2,a3,a4,a6] |
Generators |
[7:98:1] [2779:146510:1] |
Generators of the group modulo torsion |
j |
6750000/3913 |
j-invariant |
L |
11.37239924348 |
L(r)(E,1)/r! |
Ω |
0.63015130089891 |
Real period |
R |
1.5039244315695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15652c1 |
Quadratic twists by: -7 |