Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bl |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-5435529699144283200 = -1 · 26 · 35 · 52 · 72 · 1111 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-725516,-263283091] |
[a1,a2,a3,a4,a6] |
Generators |
[1079:14005:1] |
Generators of the group modulo torsion |
j |
-861923363555648023441/110929177533556800 |
j-invariant |
L |
5.8316978682982 |
L(r)(E,1)/r! |
Ω |
0.081207874376016 |
Real period |
R |
5.9843312744276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360gt1 48510bx1 80850cf1 16170cc1 |
Quadratic twists by: -4 -3 5 -7 |