Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cl |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-22482723900000 = -1 · 25 · 3 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12741,-599775] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2105:1] |
Generators of the group modulo torsion |
j |
-39678209809/3900000 |
j-invariant |
L |
8.1634010701952 |
L(r)(E,1)/r! |
Ω |
0.22343602725192 |
Real period |
R |
2.4357161407968 |
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 |
57330by1 95550j1 19110ci1 |
Quadratic twists by: -3 5 -7 |