Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9514016870400 = 212 · 38 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6123,-109478] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:270:1] |
Generators of the group modulo torsion |
j |
8502154921/3186225 |
j-invariant |
L |
5.5262706653622 |
L(r)(E,1)/r! |
Ω |
0.55686353055912 |
Real period |
R |
1.240490345194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355h2 28560dx2 |
Quadratic twists by: -4 -3 |