Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882d |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
7691871511626725376 = 211 · 34 · 1710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 -6 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711668,-188958384] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:6536:1] |
Generators of the group modulo torsion |
j |
19772781481/3815424 |
j-invariant |
L |
1.8130335048897 |
L(r)(E,1)/r! |
Ω |
0.16657802806503 |
Real period |
R |
5.4419947394856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646cn1 39882bh1 |
Quadratic twists by: -3 17 |