Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56544d |
Isogeny class |
Conductor |
56544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-673099776 = -1 · 212 · 32 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -1 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,747] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
199176704/164331 |
j-invariant |
L |
9.4819639749033 |
L(r)(E,1)/r! |
Ω |
1.0434447226578 |
Real period |
R |
1.1358967764511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56544g1 113088e1 |
Quadratic twists by: -4 8 |