Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040k |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2.3895654179141E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8285158460,290175586566192] |
[a1,a2,a3,a4,a6] |
Generators |
[51724:-111020:1] |
Generators of the group modulo torsion |
j |
245689277968779868090419995701456/93342399137270122585475925 |
j-invariant |
L |
6.2217687723861 |
L(r)(E,1)/r! |
Ω |
0.037232103940285 |
Real period |
R |
5.9681297608608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520be2 |
Quadratic twists by: -4 |