Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dm |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-913833984 = -1 · 219 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3841,-92929] |
[a1,a2,a3,a4,a6] |
Generators |
[53415:113824:729] |
Generators of the group modulo torsion |
j |
-23912763841/3486 |
j-invariant |
L |
8.2917755406862 |
L(r)(E,1)/r! |
Ω |
0.30321121588654 |
Real period |
R |
6.8366332888124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999667157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552b1 27888v1 |
Quadratic twists by: -4 8 |