Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bi |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
333704448 |
Modular degree for the optimal curve |
Δ |
-3.9564651118546E+31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9584064964,-471175102166590] |
[a1,a2,a3,a4,a6] |
Generators |
[1860603316610:737260579512295:8741816] |
Generators of the group modulo torsion |
j |
-827531851239285168040583135401/336293985656875009728577536 |
j-invariant |
L |
5.7164474680034 |
L(r)(E,1)/r! |
Ω |
0.0074797496388364 |
Real period |
R |
17.369466480786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094e1 |
Quadratic twists by: -7 |