Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020a |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-829068750000 = -1 · 24 · 33 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10608,-422807] |
[a1,a2,a3,a4,a6] |
j |
-62200479744/390625 |
j-invariant |
L |
1.4107479687315 |
L(r)(E,1)/r! |
Ω |
0.23512466146485 |
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 |
52020h1 52020i1 |
Quadratic twists by: -3 17 |