Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680j |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14648745024000 = 29 · 34 · 53 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6376,64940] |
[a1,a2,a3,a4,a6] |
Generators |
[79:246:1] |
Generators of the group modulo torsion |
j |
55997261469512/28610830125 |
j-invariant |
L |
4.6507764412406 |
L(r)(E,1)/r! |
Ω |
0.61961915712054 |
Real period |
R |
1.876465724064 |
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 |
19680d3 39360cf4 59040bv3 98400ca3 |
Quadratic twists by: -4 8 -3 5 |