Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dw |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
226381845263745024 = 216 · 315 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4257752,3380075796] |
[a1,a2,a3,a4,a6] |
Generators |
[748:-24786:1] |
Generators of the group modulo torsion |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
5.8503484516233 |
L(r)(E,1)/r! |
Ω |
0.2918130482245 |
Real period |
R |
0.22275861919194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998j1 119952fo1 39984bf1 |
Quadratic twists by: -4 -3 -7 |