Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700j |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-4191750000 = -1 · 24 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
4.6006706903593 |
L(r)(E,1)/r! |
Ω |
0.77945006984277 |
Real period |
R |
0.98374286956943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800ed1 2300e1 828d1 |
Quadratic twists by: -4 -3 5 |