Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142x |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-187482489187181472 = -1 · 25 · 311 · 197 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47103,-20453463] |
[a1,a2,a3,a4,a6] |
Generators |
[1968:86739:1] |
Generators of the group modulo torsion |
j |
245667233447/3985098912 |
j-invariant |
L |
14.993195525947 |
L(r)(E,1)/r! |
Ω |
0.15584759156881 |
Real period |
R |
0.43729189564654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218a1 |
Quadratic twists by: -19 |