Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bv |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
10955229115944960 = 212 · 310 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88209,-8714147] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1196:1] |
Generators of the group modulo torsion |
j |
885012508801/127733760 |
j-invariant |
L |
4.2906707722668 |
L(r)(E,1)/r! |
Ω |
0.27969337399509 |
Real period |
R |
1.9175779492944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bk1 6930f1 |
Quadratic twists by: -3 -7 |