Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.5563282726091E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72320,189681908] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:5208:1] |
Generators of the group modulo torsion |
j |
10212522147262079/3799629571799655 |
j-invariant |
L |
9.0421747320927 |
L(r)(E,1)/r! |
Ω |
0.17153544956448 |
Real period |
R |
1.6472860922358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5115e6 |
Quadratic twists by: -4 |