Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200z |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
6547200 |
Modular degree for the optimal curve |
Δ |
-1.3125297435439E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689763,-5768529702] |
[a1,a2,a3,a4,a6] |
Generators |
[12889:1449459:1] |
Generators of the group modulo torsion |
j |
-5380293009069087631360/32813243588596532787 |
j-invariant |
L |
7.2873981972085 |
L(r)(E,1)/r! |
Ω |
0.0526843379445 |
Real period |
R |
1.571839862453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200by1 |
Quadratic twists by: 5 |