Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569i |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6572638896867 = 32 · 198 · 43 |
Discriminant |
Eigenvalues |
-1 3- 0 0 -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83218,9232289] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:4151:1] [-65:3823:1] |
Generators of the group modulo torsion |
j |
1354734699625/139707 |
j-invariant |
L |
7.0502887689483 |
L(r)(E,1)/r! |
Ω |
0.7196971254566 |
Real period |
R |
4.8980942952043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451a2 |
Quadratic twists by: -19 |