Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
44896c |
Isogeny class |
Conductor |
44896 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2.0931964531278E+20 |
Discriminant |
Eigenvalues |
2- 0 1 -3 -6 6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,136453,695815938] |
[a1,a2,a3,a4,a6] |
Generators |
[-7411934:239235656:12167] |
Generators of the group modulo torsion |
j |
548785990562042232/408827432251533203 |
j-invariant |
L |
4.5016513378451 |
L(r)(E,1)/r! |
Ω |
0.13878665721632 |
Real period |
R |
10.811921520693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44896e1 89792g1 |
Quadratic twists by: -4 8 |