Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110m |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
54789113417220 = 22 · 39 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-702832,-227083604] |
[a1,a2,a3,a4,a6] |
Generators |
[1791:64397:1] |
Generators of the group modulo torsion |
j |
326355561310674169/465699780 |
j-invariant |
L |
2.6481299260798 |
L(r)(E,1)/r! |
Ω |
0.16488708098867 |
Real period |
R |
4.0150658107985 |
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 |
57330ed1 95550kg1 2730p1 |
Quadratic twists by: -3 5 -7 |