Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150b |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4139520 |
Modular degree for the optimal curve |
Δ |
-1.6536352619434E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 1 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19471000,33119432000] |
[a1,a2,a3,a4,a6] |
Generators |
[9235:796020:1] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
2.9374026378948 |
L(r)(E,1)/r! |
Ω |
0.14995497200412 |
Real period |
R |
4.8971411194512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366o1 4550u1 |
Quadratic twists by: 5 13 |