Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dz |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-498636000000 = -1 · 28 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,33500] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] |
Generators of the group modulo torsion |
j |
8192/171 |
j-invariant |
L |
5.9806859090259 |
L(r)(E,1)/r! |
Ω |
0.69587291442337 |
Real period |
R |
2.1486272079704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100w1 22800bq1 2736p1 |
Quadratic twists by: -4 -3 5 |