Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cc |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.8061524681062E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4713824534,-124565642604259] |
[a1,a2,a3,a4,a6] |
Generators |
[-948262041773808070079460784355060201457088:1405956225736313333320421130485505312180621:23944832140464329230897815364934303744] |
Generators of the group modulo torsion |
j |
135060446446118862609055753/2105904344334476168 |
j-invariant |
L |
11.803186804806 |
L(r)(E,1)/r! |
Ω |
0.018220345497188 |
Real period |
R |
53.983548256659 |
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 |
8722j2 11214m2 |
Quadratic twists by: -3 -7 |