Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.5111230838207E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3160947,-2080660286] |
[a1,a2,a3,a4,a6] |
Generators |
[-862:1890:1] |
Generators of the group modulo torsion |
j |
4678944235881273796/202428825314625 |
j-invariant |
L |
6.4192377497733 |
L(r)(E,1)/r! |
Ω |
0.11352847777316 |
Real period |
R |
4.7119144871752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bp3 21840l3 |
Quadratic twists by: -4 -3 |