Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470p |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
5521172435460 = 22 · 316 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4554,35968] |
[a1,a2,a3,a4,a6] |
j |
14329429649569/7573624740 |
j-invariant |
L |
2.6719668613763 |
L(r)(E,1)/r! |
Ω |
0.66799171603873 |
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 |
17490s1 |
Quadratic twists by: -3 |