Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360m |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
173600000000 = 211 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9467,-353974] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1650:1] |
Generators of the group modulo torsion |
j |
45817447530402/84765625 |
j-invariant |
L |
4.4544089774871 |
L(r)(E,1)/r! |
Ω |
0.48405501678575 |
Real period |
R |
2.3005695752652 |
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 |
8680o4 69440cj4 86800p4 121520c4 |
Quadratic twists by: -4 8 5 -7 |