Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dy |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6345216000000000000 = 221 · 36 · 512 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1048033,-395127937] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:2175:1] |
Generators of the group modulo torsion |
j |
31080575499121/1549125000 |
j-invariant |
L |
6.9044376677204 |
L(r)(E,1)/r! |
Ω |
0.1496744218433 |
Real period |
R |
3.8441424967719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gm2 2550d2 16320b2 |
Quadratic twists by: -4 8 5 |