Atkin-Lehner |
2+ 5- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550n |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5855042000 = 24 · 53 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-358821,82700288] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:12991:1] [347:-214:1] |
Generators of the group modulo torsion |
j |
40873847086981516733/46840336 |
j-invariant |
L |
5.6667469867298 |
L(r)(E,1)/r! |
Ω |
0.85359214358865 |
Real period |
R |
1.6596764126158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85550bb2 |
Quadratic twists by: 5 |