Atkin-Lehner |
2+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29216a |
Isogeny class |
Conductor |
29216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-310390784 = -1 · 212 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6781,212683] |
[a1,a2,a3,a4,a6] |
Generators |
[54:83:1] |
Generators of the group modulo torsion |
j |
-8419940867584/75779 |
j-invariant |
L |
4.8215734996602 |
L(r)(E,1)/r! |
Ω |
1.5512207565737 |
Real period |
R |
0.77706114349419 |
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 |
29216f1 58432i1 |
Quadratic twists by: -4 8 |