Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050m |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21800071987200 = 218 · 39 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8007,161981] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:553:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
4.4599373090498 |
L(r)(E,1)/r! |
Ω |
0.61912787576312 |
Real period |
R |
1.8008950503534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dq1 76050dy2 76050dn2 |
Quadratic twists by: -3 5 13 |