Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450f |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
836352 |
Modular degree for the optimal curve |
Δ |
2.40897245184E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7743251,-8290691602] |
[a1,a2,a3,a4,a6] |
j |
3286045838843721349921/1541742369177600 |
j-invariant |
L |
1.9911484370998 |
L(r)(E,1)/r! |
Ω |
0.090506747140898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600ce1 37350bq1 2490i1 |
Quadratic twists by: -4 -3 5 |