Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16008c |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
2209104 = 24 · 32 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
3451205632/138069 |
j-invariant |
L |
2.2607726360322 |
L(r)(E,1)/r! |
Ω |
1.603635067251 |
Real period |
R |
0.7048899971699 |
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 |
32016i1 128064bh1 48024o1 |
Quadratic twists by: -4 8 -3 |