Atkin-Lehner |
3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44403d |
Isogeny class |
Conductor |
44403 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
1813968 |
Modular degree for the optimal curve |
Δ |
-3.6868702271511E+21 |
Discriminant |
Eigenvalues |
-1 3- -2 3 4 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1396521,2851594308] |
[a1,a2,a3,a4,a6] |
Generators |
[-1053:15147:1] |
Generators of the group modulo torsion |
j |
17735249285423/217084614003 |
j-invariant |
L |
4.4879397913023 |
L(r)(E,1)/r! |
Ω |
0.10347056654958 |
Real period |
R |
0.42523599885326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44403b1 |
Quadratic twists by: -19 |