Atkin-Lehner |
2- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56950v |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15168 |
Modular degree for the optimal curve |
Δ |
-4840750 = -1 · 2 · 53 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68,-269] |
[a1,a2,a3,a4,a6] |
Generators |
[1940:9453:64] |
Generators of the group modulo torsion |
j |
-278445077/38726 |
j-invariant |
L |
13.604394987474 |
L(r)(E,1)/r! |
Ω |
0.82483575241883 |
Real period |
R |
4.1233648479072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56950g1 |
Quadratic twists by: 5 |