Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240es |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
-1.60392082446E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27609792,24386703968] |
[a1,a2,a3,a4,a6] |
Generators |
[229006953785746177404489253831400376104509:34393297603384023697785220903594363837113909:10802881472310447239871184357495471789] |
Generators of the group modulo torsion |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
7.0190741968874 |
L(r)(E,1)/r! |
Ω |
0.053303567136483 |
Real period |
R |
65.84056728244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240cf1 16560bz1 22080cl1 |
Quadratic twists by: -4 8 -3 |