Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16104c |
Isogeny class |
Conductor |
16104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-22674432 = -1 · 210 · 3 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,-208] |
[a1,a2,a3,a4,a6] |
j |
3429500/22143 |
j-invariant |
L |
1.0689076483108 |
L(r)(E,1)/r! |
Ω |
1.0689076483108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32208b1 128832i1 48312p1 |
Quadratic twists by: -4 8 -3 |