Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768g |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1709954509824 = 210 · 34 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19464,-1036836] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3108:1] |
Generators of the group modulo torsion |
j |
796420363297828/1669877451 |
j-invariant |
L |
3.3176276611301 |
L(r)(E,1)/r! |
Ω |
0.40424474207867 |
Real period |
R |
2.0517444729587 |
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 |
19536l3 78144w4 29304i4 107448s4 |
Quadratic twists by: -4 8 -3 -11 |