Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bm |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43430400 |
Modular degree for the optimal curve |
Δ |
-2.5932774047898E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 5 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-436321751,-3508035412102] |
[a1,a2,a3,a4,a6] |
Generators |
[2403931871695548:1806860384001020534:4243659659] |
Generators of the group modulo torsion |
j |
-1175277148105921/3317760 |
j-invariant |
L |
8.3735670810729 |
L(r)(E,1)/r! |
Ω |
0.016516490416822 |
Real period |
R |
21.124259426366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230w1 126150cc1 |
Quadratic twists by: 5 29 |