Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882bq |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
2712030359166 = 2 · 36 · 172 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97144,11613179] |
[a1,a2,a3,a4,a6] |
Generators |
[10868:8817:64] |
Generators of the group modulo torsion |
j |
350811720696792673/9384188094 |
j-invariant |
L |
9.7899157177286 |
L(r)(E,1)/r! |
Ω |
0.75046598594158 |
Real period |
R |
1.3045115836192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646r1 39882bw1 |
Quadratic twists by: -3 17 |