Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280ci |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1090584576000 = 219 · 32 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85505,-9594975] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:3:1] |
Generators of the group modulo torsion |
j |
263732349218689/4160250 |
j-invariant |
L |
5.2299196825182 |
L(r)(E,1)/r! |
Ω |
0.27919116095545 |
Real period |
R |
3.1220661765824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bs2 10320bc2 123840eq2 |
Quadratic twists by: -4 8 -3 |