Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bi |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
903820943424960 = 26 · 313 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127227,-17406956] |
[a1,a2,a3,a4,a6] |
Generators |
[-2834775294492959280:-2521203958020319286:14238827123236633] |
Generators of the group modulo torsion |
j |
4881508724731456/19372019535 |
j-invariant |
L |
6.5481488434659 |
L(r)(E,1)/r! |
Ω |
0.25284734766137 |
Real period |
R |
25.897637068496 |
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 |
31680bs1 15840x2 10560u1 |
Quadratic twists by: -4 8 -3 |