Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100be |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
3.7202082349781E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10461833,-13024643412] |
[a1,a2,a3,a4,a6] |
Generators |
[4108:115500:1] |
Generators of the group modulo torsion |
j |
4052257936834740224/1190466635193 |
j-invariant |
L |
8.1392054438743 |
L(r)(E,1)/r! |
Ω |
0.083947015770427 |
Real period |
R |
3.4627307002845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56100n1 |
Quadratic twists by: 5 |