Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360m |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30136960000 = 210 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-787,-1566] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
52643887524/29430625 |
j-invariant |
L |
4.4544089774871 |
L(r)(E,1)/r! |
Ω |
0.9681100335715 |
Real period |
R |
1.1502847876326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8680o2 69440cj2 86800p2 121520c2 |
Quadratic twists by: -4 8 5 -7 |