Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ea |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
Δ |
4.7735258256E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19423730,-32927737103] |
[a1,a2,a3,a4,a6] |
Generators |
[-2561:5105:1] |
Generators of the group modulo torsion |
j |
71149857462630609489/41907496960000 |
j-invariant |
L |
10.188781101839 |
L(r)(E,1)/r! |
Ω |
0.071917031373238 |
Real period |
R |
1.2649473720013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5950c2 10710j2 |
Quadratic twists by: -3 5 |