Atkin-Lehner |
5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265n |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5430575875484375 = 56 · 7 · 112 · 177 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 11+ 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175140,27973225] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1501:1] |
Generators of the group modulo torsion |
j |
24614236831969/224984375 |
j-invariant |
L |
3.2901217990532 |
L(r)(E,1)/r! |
Ω |
0.43094294163838 |
Real period |
R |
0.63622533241034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545b2 |
Quadratic twists by: 17 |