Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216i |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43459080469549056 = -1 · 212 · 32 · 132 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1447649,670971729] |
[a1,a2,a3,a4,a6] |
j |
-81913199224986275392/10610127067761 |
j-invariant |
L |
1.3896287920032 |
L(r)(E,1)/r! |
Ω |
0.34740719800081 |
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 |
21216e2 42432z1 63648f2 |
Quadratic twists by: -4 8 -3 |