Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bm |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-63292734 = -1 · 2 · 32 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1077,13161] |
[a1,a2,a3,a4,a6] |
j |
-478077364657/219006 |
j-invariant |
L |
3.871962921223 |
L(r)(E,1)/r! |
Ω |
1.9359814606518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646ba1 39882bz1 |
Quadratic twists by: -3 17 |