Atkin-Lehner |
2+ 3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990i |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
2.96242272E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2483640,-1482987200] |
[a1,a2,a3,a4,a6] |
j |
2324139647130109549441/40636800000000000 |
j-invariant |
L |
0.48155602637022 |
L(r)(E,1)/r! |
Ω |
0.12038936473892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330ba1 |
Quadratic twists by: -3 |