Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558o |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9009114912 = 25 · 32 · 72 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1653,25312] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:180:1] |
Generators of the group modulo torsion |
j |
499073536793161/9009114912 |
j-invariant |
L |
4.0180285829733 |
L(r)(E,1)/r! |
Ω |
1.30146106871 |
Real period |
R |
0.77183034505904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674bm2 |
Quadratic twists by: -3 |