Atkin-Lehner |
2+ 3+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450c |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-36220820625000 = -1 · 23 · 38 · 57 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8250,-22500] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-1050:1] |
Generators of the group modulo torsion |
j |
3973592034719/2318132520 |
j-invariant |
L |
4.4784452120771 |
L(r)(E,1)/r! |
Ω |
0.38427007851524 |
Real period |
R |
0.72840131228385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998675574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090m1 |
Quadratic twists by: 5 |