Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bf |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
2.6633597713434E+22 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 6 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208629864,-1159783257744] |
[a1,a2,a3,a4,a6] |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
3.8929802686663 |
L(r)(E,1)/r! |
Ω |
0.039724288455433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998k1 119952eg1 39984dw1 |
Quadratic twists by: -4 -3 -7 |