Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dn |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-4191750000 = -1 · 24 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,3375] |
[a1,a2,a3,a4,a6] |
Generators |
[70:575:1] |
Generators of the group modulo torsion |
j |
-6912/23 |
j-invariant |
L |
6.6691158548254 |
L(r)(E,1)/r! |
Ω |
1.2153648338921 |
Real period |
R |
2.7436682666198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20700q1 9200bd1 3312q1 |
Quadratic twists by: -4 -3 5 |