Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-194088577794048 = -1 · 218 · 38 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10751,511393] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:448:1] |
Generators of the group modulo torsion |
j |
524191506047/740389167 |
j-invariant |
L |
4.0272583312304 |
L(r)(E,1)/r! |
Ω |
0.38297911043266 |
Real period |
R |
1.3144510436658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bf3 15792bf4 |
Quadratic twists by: -4 8 |