Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110m |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480000 |
Modular degree for the optimal curve |
Δ |
4.7469582177178E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106585380,-410336506800] |
[a1,a2,a3,a4,a6] |
Generators |
[-14886233967320:-206714003016340:2305199161] |
Generators of the group modulo torsion |
j |
183691516586815867994210881/6511602493440000000000 |
j-invariant |
L |
2.9225511312122 |
L(r)(E,1)/r! |
Ω |
0.047089091074197 |
Real period |
R |
15.516073176823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bp1 |
Quadratic twists by: -3 |