Atkin-Lehner |
3- 7+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42441g |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2141920 |
Modular degree for the optimal curve |
Δ |
-2.515509117169E+21 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -3 6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3256583,3306414080] |
[a1,a2,a3,a4,a6] |
j |
-3819533292162496000000000/2515509117169009348947 |
j-invariant |
L |
1.3352614671509 |
L(r)(E,1)/r! |
Ω |
0.13352614673704 |
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 |
127323b1 |
Quadratic twists by: -3 |