Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144bb |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
15861639098138624 = 226 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66264,2549744] |
[a1,a2,a3,a4,a6] |
j |
66775173193/32915456 |
j-invariant |
L |
0.69613005896591 |
L(r)(E,1)/r! |
Ω |
0.34806502948279 |
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 |
4018i1 128576cz1 4592e1 |
Quadratic twists by: -4 8 -7 |