Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
55776d |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-1180666368 = -1 · 29 · 34 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -5 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23000,1350276] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-18:1] [88:2:1] |
Generators of the group modulo torsion |
j |
-2628186265656008/2305989 |
j-invariant |
L |
6.1077929037473 |
L(r)(E,1)/r! |
Ω |
1.2866977998556 |
Real period |
R |
1.1867186110908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55776r1 111552bg1 |
Quadratic twists by: -4 8 |