Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573j |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-592787349 = -1 · 33 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1,-1172] |
[a1,a2,a3,a4,a6] |
Generators |
[16:44:1] |
Generators of the group modulo torsion |
j |
27/64009 |
j-invariant |
L |
4.8574532319392 |
L(r)(E,1)/r! |
Ω |
0.74892660845304 |
Real period |
R |
1.6214716951127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573g2 111573k2 |
Quadratic twists by: -3 -7 |