Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636c |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
13005391056 = 24 · 3 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,-44610] |
[a1,a2,a3,a4,a6] |
Generators |
[-47508:30115:1728] |
Generators of the group modulo torsion |
j |
829898752/6909 |
j-invariant |
L |
5.3639043075377 |
L(r)(E,1)/r! |
Ω |
0.68121390595332 |
Real period |
R |
7.8740381848652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544dz1 82908bf1 3948c1 |
Quadratic twists by: -4 -3 -7 |