Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984do |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-30191146868736 = -1 · 213 · 37 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3880,-281548] |
[a1,a2,a3,a4,a6] |
Generators |
[422:-8568:1] |
Generators of the group modulo torsion |
j |
-4599141247/21489462 |
j-invariant |
L |
7.2988435843801 |
L(r)(E,1)/r! |
Ω |
0.27395552289463 |
Real period |
R |
0.15858595244596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998h1 119952ex1 39984bq1 |
Quadratic twists by: -4 -3 -7 |