Atkin-Lehner |
5+ 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
110075a |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2884351982421875 = -1 · 510 · 73 · 17 · 373 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-100833,-12558432] |
[a1,a2,a3,a4,a6] |
Generators |
[191873890428:-4805242066223:246491883] |
Generators of the group modulo torsion |
j |
-11610102169600/295357643 |
j-invariant |
L |
2.6418480755536 |
L(r)(E,1)/r! |
Ω |
0.13375685602783 |
Real period |
R |
19.751122701358 |
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 |
110075j2 |
Quadratic twists by: 5 |