Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912i |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224566272 = 210 · 32 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-836] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] |
Generators of the group modulo torsion |
j |
976562500/219303 |
j-invariant |
L |
3.905486824047 |
L(r)(E,1)/r! |
Ω |
1.2768330311884 |
Real period |
R |
1.529364736285 |
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 |
19824h2 79296o2 29736e2 69384z2 |
Quadratic twists by: -4 8 -3 -7 |