Atkin-Lehner |
2- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950bj |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
27936 |
Modular degree for the optimal curve |
Δ |
-6695000 = -1 · 23 · 54 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3 5- 2 2 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45,-53] |
[a1,a2,a3,a4,a6] |
j |
16462575/10712 |
j-invariant |
L |
12.184773896471 |
L(r)(E,1)/r! |
Ω |
1.3538637678558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66950l1 |
Quadratic twists by: 5 |