Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020j |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-646135688052720 = -1 · 24 · 39 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7803,-1193859] |
[a1,a2,a3,a4,a6] |
Generators |
[85:289:1] |
Generators of the group modulo torsion |
j |
6912/85 |
j-invariant |
L |
6.830837622612 |
L(r)(E,1)/r! |
Ω |
0.25149759391237 |
Real period |
R |
1.1316936669155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52020c1 3060b1 |
Quadratic twists by: -3 17 |