Atkin-Lehner |
3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975n |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33063353317125 = 39 · 53 · 19 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 -6 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11315,-368738] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:305:1] |
Generators of the group modulo torsion |
j |
65110360167/13438339 |
j-invariant |
L |
1.9511612232006 |
L(r)(E,1)/r! |
Ω |
0.46962497448444 |
Real period |
R |
2.0773608508566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000768996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123975p2 123975l2 |
Quadratic twists by: -3 5 |