Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632p |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-3.5669810341437E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,285792,281171241] |
[a1,a2,a3,a4,a6] |
Generators |
[-71484:5000211:343] |
Generators of the group modulo torsion |
j |
500000000/6908733 |
j-invariant |
L |
3.3804119986777 |
L(r)(E,1)/r! |
Ω |
0.15274856582711 |
Real period |
R |
2.7663205908513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112632g1 |
Quadratic twists by: -19 |