Atkin-Lehner |
2+ 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350ba |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10951112018000 = 24 · 53 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19806,-1062592] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-6144:1] |
Generators of the group modulo torsion |
j |
6873413985082637/87608896144 |
j-invariant |
L |
3.3443720710752 |
L(r)(E,1)/r! |
Ω |
0.40275211790978 |
Real period |
R |
0.51898733866614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000221318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350ca2 |
Quadratic twists by: 5 |