Atkin-Lehner |
2- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22220c |
Isogeny class |
Conductor |
22220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
186691051250000 = 24 · 57 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21968,-1066983] |
[a1,a2,a3,a4,a6] |
j |
73278283746115584/11668190703125 |
j-invariant |
L |
2.3781989864065 |
L(r)(E,1)/r! |
Ω |
0.39636649773442 |
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 |
88880g1 111100e1 |
Quadratic twists by: -4 5 |