Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016bc |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-12677914286272512 = -1 · 212 · 38 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -4 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11019,-5395293] |
[a1,a2,a3,a4,a6] |
Generators |
[1674:19785:8] |
Generators of the group modulo torsion |
j |
36120262639616/3095193917547 |
j-invariant |
L |
9.4965679249304 |
L(r)(E,1)/r! |
Ω |
0.18998937015272 |
Real period |
R |
6.2480916151369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2001b1 128064cl1 96048bu1 |
Quadratic twists by: -4 8 -3 |