Atkin-Lehner |
2+ 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486h |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
166984482792 = 23 · 3 · 236 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5762,-169620] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:35:1] [169:1844:1] |
Generators of the group modulo torsion |
j |
21162220619509801/166984482792 |
j-invariant |
L |
2.8985875564081 |
L(r)(E,1)/r! |
Ω |
0.54821772778527 |
Real period |
R |
3.5248617589924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888u2 19458g2 |
Quadratic twists by: -4 -3 |