Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648p |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1014032888064 = 28 · 310 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3351,56810] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:162:1] [-29:360:1] |
Generators of the group modulo torsion |
j |
22298697808/5433561 |
j-invariant |
L |
6.5491685023196 |
L(r)(E,1)/r! |
Ω |
0.82341370350973 |
Real period |
R |
3.9768396338346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296r2 6216q2 |
Quadratic twists by: -4 -3 |