Atkin-Lehner |
2- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22220d |
Isogeny class |
Conductor |
22220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
-2222000 = -1 · 24 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,17] |
[a1,a2,a3,a4,a6] |
j |
226492416/138875 |
j-invariant |
L |
4.8059364711026 |
L(r)(E,1)/r! |
Ω |
1.6019788237009 |
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 |
88880i1 111100f1 |
Quadratic twists by: -4 5 |