Atkin-Lehner |
2- 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050o |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
5052672 |
Modular degree for the optimal curve |
Δ |
-3.9728004840141E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-333688,-3033475008] |
[a1,a2,a3,a4,a6] |
Generators |
[1712:36744:1] |
Generators of the group modulo torsion |
j |
-262981703536941241/254259230976901120 |
j-invariant |
L |
5.6429486295367 |
L(r)(E,1)/r! |
Ω |
0.062793264071887 |
Real period |
R |
0.33038789999641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20210a1 |
Quadratic twists by: 5 |