Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094ca |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
160897242996 = 22 · 36 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,-13107] |
[a1,a2,a3,a4,a6] |
Generators |
[51:170:1] |
Generators of the group modulo torsion |
j |
4826809/1876 |
j-invariant |
L |
9.3495714910094 |
L(r)(E,1)/r! |
Ω |
0.78612318313574 |
Real period |
R |
1.4866581490485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566e1 8442d1 |
Quadratic twists by: -3 -7 |