Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ea |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
66585028912496640 = 214 · 312 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109227,-6239014] |
[a1,a2,a3,a4,a6] |
Generators |
[50945:514512:125] |
Generators of the group modulo torsion |
j |
48264326765929/22299191460 |
j-invariant |
L |
7.3980042523972 |
L(r)(E,1)/r! |
Ω |
0.27449486907216 |
Real period |
R |
6.7378347336774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190ca1 21840bf1 |
Quadratic twists by: -4 -3 |