Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573g |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-432141977421 = -1 · 39 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12,31625] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-197:1] |
Generators of the group modulo torsion |
j |
27/64009 |
j-invariant |
L |
4.0132935756375 |
L(r)(E,1)/r! |
Ω |
0.74711536870802 |
Real period |
R |
1.3429296603484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573j2 111573f2 |
Quadratic twists by: -3 -7 |