Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736s |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16828051968 = 29 · 34 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146032,21528052] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:6552:1] |
Generators of the group modulo torsion |
j |
672668087746709384/32867289 |
j-invariant |
L |
4.3084566346815 |
L(r)(E,1)/r! |
Ω |
0.92283798511636 |
Real period |
R |
2.3343515894278 |
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 |
8736v2 17472dd3 26208q4 61152cc4 |
Quadratic twists by: -4 8 -3 -7 |