Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645m |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.4836598751172E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-665267,490065086] |
[a1,a2,a3,a4,a6] |
Generators |
[-1798734:70541561:2744] |
Generators of the group modulo torsion |
j |
-44666663753479828969/116373935186792595 |
j-invariant |
L |
3.8903335648254 |
L(r)(E,1)/r! |
Ω |
0.16941924993649 |
Real period |
R |
11.48137996799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215f4 108225bc3 |
Quadratic twists by: -3 5 |