Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22260g |
Isogeny class |
Conductor |
22260 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
41664 |
Modular degree for the optimal curve |
Δ |
-1038562560 = -1 · 28 · 37 · 5 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64356,-6305436] |
[a1,a2,a3,a4,a6] |
j |
-115148324799160144/4056885 |
j-invariant |
L |
3.1473209289805 |
L(r)(E,1)/r! |
Ω |
0.14987242518955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89040bc1 66780n1 111300b1 |
Quadratic twists by: -4 -3 5 |