Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75920a |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-237250000000000 = -1 · 210 · 512 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15037,-213262] |
[a1,a2,a3,a4,a6] |
Generators |
[36123425766:-594573404597:773620632] |
Generators of the group modulo torsion |
j |
367203958810524/231689453125 |
j-invariant |
L |
5.9591204553565 |
L(r)(E,1)/r! |
Ω |
0.31998695694396 |
Real period |
R |
18.623010489794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37960a3 |
Quadratic twists by: -4 |