Atkin-Lehner |
3+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835i |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-4448752875 = -1 · 35 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 5 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1520,-23668] |
[a1,a2,a3,a4,a6] |
j |
-161763365281/1852875 |
j-invariant |
L |
1.1461252984326 |
L(r)(E,1)/r! |
Ω |
0.38204176616946 |
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 |
44835t1 |
Quadratic twists by: -7 |