Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110da |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-176117760 = -1 · 211 · 33 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
1644195791/3594240 |
j-invariant |
L |
9.6713718005175 |
L(r)(E,1)/r! |
Ω |
0.9371416994873 |
Real period |
R |
0.31272951881587 |
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 |
57330y1 95550bj1 19110bn1 |
Quadratic twists by: -3 5 -7 |