Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200ec |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-1.0028586160066E+21 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26075448,-51264177808] |
[a1,a2,a3,a4,a6] |
Generators |
[144812:55072080:1] |
Generators of the group modulo torsion |
j |
-3829561990703458000109/1958708234387912 |
j-invariant |
L |
8.6154978929749 |
L(r)(E,1)/r! |
Ω |
0.033403985733045 |
Real period |
R |
4.605683222632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650j2 53200do2 |
Quadratic twists by: -4 5 |