Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005c |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-4.5888414792761E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 -5 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2835876,1867757816] |
[a1,a2,a3,a4,a6] |
Generators |
[993:5467:1] |
Generators of the group modulo torsion |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
1.6093362550042 |
L(r)(E,1)/r! |
Ω |
0.20212167608399 |
Real period |
R |
1.9905538477878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995948829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
645c1 |
Quadratic twists by: 13 |