Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840u |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-10793073623040 = -1 · 214 · 33 · 5 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70683,7234762] |
[a1,a2,a3,a4,a6] |
j |
-353138381301987/97593620 |
j-invariant |
L |
2.8149547201701 |
L(r)(E,1)/r! |
Ω |
0.70373868004248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230s1 33840bi1 |
Quadratic twists by: -4 -3 |