Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954j |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
-20836141285122436 = -1 · 22 · 72 · 138 · 194 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 2 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,68610,-613468] |
[a1,a2,a3,a4,a6] |
Generators |
[14:584:1] [91:2481:1] |
Generators of the group modulo torsion |
j |
43787308487/25542916 |
j-invariant |
L |
4.3131732995676 |
L(r)(E,1)/r! |
Ω |
0.22629359367474 |
Real period |
R |
0.79416987122915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954u1 |
Quadratic twists by: 13 |