Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860a |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
12069027810000 = 24 · 33 · 54 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8210281,-9052194794] |
[a1,a2,a3,a4,a6] |
Generators |
[-7427439522672637132896:599033982113994925:4490687673325748224] |
Generators of the group modulo torsion |
j |
11152795170530823651328/2199166875 |
j-invariant |
L |
5.2809207705769 |
L(r)(E,1)/r! |
Ω |
0.089188743371639 |
Real period |
R |
29.605309879399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55860bd1 |
Quadratic twists by: -7 |