Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134q |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-430192509824 = -1 · 27 · 78 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1714,-15093] |
[a1,a2,a3,a4,a6] |
Generators |
[13:91:1] |
Generators of the group modulo torsion |
j |
4733169839/3656576 |
j-invariant |
L |
6.7423946227403 |
L(r)(E,1)/r! |
Ω |
0.52518004863725 |
Real period |
R |
0.91701811057112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162i1 |
Quadratic twists by: -7 |