Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109980i |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-320701680 = -1 · 24 · 38 · 5 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-803] |
[a1,a2,a3,a4,a6] |
Generators |
[44:297:1] |
Generators of the group modulo torsion |
j |
6243584/27495 |
j-invariant |
L |
4.8869493571116 |
L(r)(E,1)/r! |
Ω |
0.86739272498731 |
Real period |
R |
2.8170338633467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660i1 |
Quadratic twists by: -3 |