Atkin-Lehner |
5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3575b |
Isogeny class |
Conductor |
3575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-228453671875 = -1 · 57 · 113 · 133 |
Discriminant |
Eigenvalues |
0 2 5+ -2 11+ 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1117,-18332] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2287:1] |
Generators of the group modulo torsion |
j |
9855401984/14621035 |
j-invariant |
L |
3.8282776026181 |
L(r)(E,1)/r! |
Ω |
0.52606632750446 |
Real period |
R |
3.6385883323673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200bu2 32175m2 715a2 39325j2 |
Quadratic twists by: -4 -3 5 -11 |