Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cc |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2711008057926E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58377216,-171688312908] |
[a1,a2,a3,a4,a6] |
Generators |
[-9172163231107556531639387115:-5484404084266634246506588438:2084384469386129021350875] |
Generators of the group modulo torsion |
j |
2278031600817539/131609088 |
j-invariant |
L |
9.0613884281039 |
L(r)(E,1)/r! |
Ω |
0.05461855606268 |
Real period |
R |
41.475778010459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438t2 75504cf2 |
Quadratic twists by: -4 -11 |