Atkin-Lehner |
2+ 3- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546m |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
335563074 = 2 · 36 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-414,3226] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:83:1] |
Generators of the group modulo torsion |
j |
10779215329/460306 |
j-invariant |
L |
5.5275861444256 |
L(r)(E,1)/r! |
Ω |
1.6935710747735 |
Real period |
R |
3.2638642804125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394k1 |
Quadratic twists by: -3 |