Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bj |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1.443528742014E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63300,-182900500] |
[a1,a2,a3,a4,a6] |
Generators |
[64182953245:4684181264775:12008989] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
6.7164992809151 |
L(r)(E,1)/r! |
Ω |
0.099891368989179 |
Real period |
R |
16.80950854133 |
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 |
41400bq1 27600d1 16560s1 |
Quadratic twists by: -4 -3 5 |