Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bb |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-7.6584299089217E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54493413,391542010666] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:598950:1] |
Generators of the group modulo torsion |
j |
11986661998777424518222/51295853620928503125 |
j-invariant |
L |
6.8873217892208 |
L(r)(E,1)/r! |
Ω |
0.043739145776499 |
Real period |
R |
3.9365891051198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bs3 18480t4 |
Quadratic twists by: -4 -3 |