Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52020bl |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
58582969050113280 = 28 · 38 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117912,-10356604] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:2286:1] |
Generators of the group modulo torsion |
j |
139264/45 |
j-invariant |
L |
5.9979181875491 |
L(r)(E,1)/r! |
Ω |
0.26424856286169 |
Real period |
R |
3.783002716978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340c1 52020x1 |
Quadratic twists by: -3 17 |