Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840s |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-488595456000 = -1 · 216 · 33 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2883,68418] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-94:1] [-9:306:1] |
Generators of the group modulo torsion |
j |
-23962599387/4418000 |
j-invariant |
L |
8.0212462052642 |
L(r)(E,1)/r! |
Ω |
0.89546485194843 |
Real period |
R |
2.2394084446228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230b1 33840bg1 |
Quadratic twists by: -4 -3 |