Atkin-Lehner |
13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66079c |
Isogeny class |
Conductor |
66079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-318950711911 = -1 · 138 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 0 -2 0 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,644,-26594] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2088:1] |
Generators of the group modulo torsion |
j |
6128487/66079 |
j-invariant |
L |
2.4859689062521 |
L(r)(E,1)/r! |
Ω |
0.47579099636531 |
Real period |
R |
5.2249179272543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5083a1 |
Quadratic twists by: 13 |