Atkin-Lehner |
2- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336h |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
8476688384 = 222 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 4 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1259,-16614] |
[a1,a2,a3,a4,a6] |
Generators |
[53:256:1] |
Generators of the group modulo torsion |
j |
53881658433/2069504 |
j-invariant |
L |
3.7787966424576 |
L(r)(E,1)/r! |
Ω |
0.80337667036246 |
Real period |
R |
1.1759106225827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042c1 129344bf1 |
Quadratic twists by: -4 8 |