Atkin-Lehner |
3+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53475b |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
73436737060546875 = 33 · 518 · 23 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2574938,-1591389844] |
[a1,a2,a3,a4,a6] |
Generators |
[-931:542:1] [-116255:78008:125] |
Generators of the group modulo torsion |
j |
120838138394482266841/4699951171875 |
j-invariant |
L |
4.9560111060332 |
L(r)(E,1)/r! |
Ω |
0.11918150717011 |
Real period |
R |
41.583725728185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695f3 |
Quadratic twists by: 5 |