Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650bd |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
436962600000000000 = 212 · 310 · 511 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43906167,-111967972259] |
[a1,a2,a3,a4,a6] |
Generators |
[-785155494250603:383420211890837:205274587699] |
Generators of the group modulo torsion |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
2.4696242976237 |
L(r)(E,1)/r! |
Ω |
0.058650021303059 |
Real period |
R |
21.053907933491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bc1 3330x1 |
Quadratic twists by: -3 5 |