Atkin-Lehner |
2- 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4182g |
Isogeny class |
Conductor |
4182 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
344103140573298 = 2 · 36 · 174 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17897,-237067] |
[a1,a2,a3,a4,a6] |
j |
633965965023858193/344103140573298 |
j-invariant |
L |
3.5213653799851 |
L(r)(E,1)/r! |
Ω |
0.44017067249814 |
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 |
33456w4 12546b3 104550t4 71094v4 |
Quadratic twists by: -4 -3 5 17 |