Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540f |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2882455634372371200 = 28 · 33 · 52 · 112 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-503676,-110546424] |
[a1,a2,a3,a4,a6] |
Generators |
[-929652:3634345:1728] |
Generators of the group modulo torsion |
j |
11436108505936/2332719675 |
j-invariant |
L |
4.9810221523113 |
L(r)(E,1)/r! |
Ω |
0.18177648696719 |
Real period |
R |
6.8504763851037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8580b2 |
Quadratic twists by: 13 |