Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855d |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.9022430247418E+19 |
Discriminant |
Eigenvalues |
1 2 5+ 4 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15941568,-24503591737] |
[a1,a2,a3,a4,a6] |
Generators |
[-22694937629646889647379518:69501924452388047310137:9881340644866580203257] |
Generators of the group modulo torsion |
j |
504831795225826249/43968753125 |
j-invariant |
L |
11.523197352183 |
L(r)(E,1)/r! |
Ω |
0.075556018064163 |
Real period |
R |
38.127993134639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1705a2 |
Quadratic twists by: -31 |