Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365k |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
106919655321675 = 3 · 52 · 76 · 594 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23154,-1263419] |
[a1,a2,a3,a4,a6] |
Generators |
[-13310492:-33756367:140608] |
Generators of the group modulo torsion |
j |
11667736047241/908802075 |
j-invariant |
L |
6.5658898906352 |
L(r)(E,1)/r! |
Ω |
0.38894047489798 |
Real period |
R |
8.4407387690204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
885b3 |
Quadratic twists by: -7 |