Atkin-Lehner |
2- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198x |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
39984 |
Modular degree for the optimal curve |
Δ |
-332790432128 = -1 · 27 · 78 · 11 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11+ 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1079,30477] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:210:1] |
Generators of the group modulo torsion |
j |
-24100657/57728 |
j-invariant |
L |
5.6285726476455 |
L(r)(E,1)/r! |
Ω |
0.85230575295119 |
Real period |
R |
0.31447314300905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198z1 |
Quadratic twists by: -7 |