Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275d |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-250859375 = -1 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 1 5+ 2 -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-833] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1204:1] |
Generators of the group modulo torsion |
j |
-28561/95 |
j-invariant |
L |
4.6020473104995 |
L(r)(E,1)/r! |
Ω |
0.7171483039596 |
Real period |
R |
3.2085743517098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16055a1 80275i1 |
Quadratic twists by: 5 13 |