Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688bl |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
21821184 |
Modular degree for the optimal curve |
Δ |
2.3731465138219E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 1 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545693504,-4901074815948] |
[a1,a2,a3,a4,a6] |
j |
549464024729857/725594112 |
j-invariant |
L |
2.061772437065 |
L(r)(E,1)/r! |
Ω |
0.031238976604409 |
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 |
10086o1 80688m1 |
Quadratic twists by: -4 41 |