Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182u |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-653213057637482496 = -1 · 216 · 313 · 7 · 114 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146080,-44440576] |
[a1,a2,a3,a4,a6] |
Generators |
[680:12728:1] |
Generators of the group modulo torsion |
j |
-344743573055119096321/653213057637482496 |
j-invariant |
L |
10.822678921411 |
L(r)(E,1)/r! |
Ω |
0.11496082597807 |
Real period |
R |
0.22630365499033 |
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 |
84546z1 |
Quadratic twists by: -3 |