Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bg |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-8426876329872 = -1 · 24 · 33 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200621,34570424] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2310:1] |
Generators of the group modulo torsion |
j |
-4165894731625/39312 |
j-invariant |
L |
5.933662908288 |
L(r)(E,1)/r! |
Ω |
0.66343198934998 |
Real period |
R |
4.4719451306385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995299 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66066ch1 |
Quadratic twists by: -11 |