Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020u |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
168544800000 = 28 · 36 · 55 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2448,42228] |
[a1,a2,a3,a4,a6] |
Generators |
[21:9:1] |
Generators of the group modulo torsion |
j |
30081024/3125 |
j-invariant |
L |
4.7682955191508 |
L(r)(E,1)/r! |
Ω |
0.98843770529554 |
Real period |
R |
2.4120364356733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5780c1 52020bk1 |
Quadratic twists by: -3 17 |