Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ci |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
5.4867043206808E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15102165857,-705393718751919] |
[a1,a2,a3,a4,a6] |
Generators |
[-75709:-1966896:1] |
Generators of the group modulo torsion |
j |
3529773792266261468365081/50841342773437500000 |
j-invariant |
L |
11.143630837647 |
L(r)(E,1)/r! |
Ω |
0.013630711909934 |
Real period |
R |
2.5548075990282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870c2 2070o2 |
Quadratic twists by: -3 -23 |