Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bd |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-63731442378604544 = -1 · 230 · 172 · 593 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1755169,-894504799] |
[a1,a2,a3,a4,a6] |
Generators |
[136965:9380872:27] |
Generators of the group modulo torsion |
j |
-2281081786314874633/243116158976 |
j-invariant |
L |
6.8936259361632 |
L(r)(E,1)/r! |
Ω |
0.065582357827368 |
Real period |
R |
8.7595025100631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cc2 2006c2 |
Quadratic twists by: -4 8 |