Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560bg |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
83349209088000 = 230 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11067,-88726] |
[a1,a2,a3,a4,a6] |
j |
1355469437763/753664000 |
j-invariant |
L |
2.9949769918258 |
L(r)(E,1)/r! |
Ω |
0.49916283197096 |
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 |
2070m1 66240ds1 16560z3 82800cm1 |
Quadratic twists by: -4 8 -3 5 |