Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fp |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-49663762689542400 = -1 · 28 · 38 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52527,-11680454] |
[a1,a2,a3,a4,a6] |
Generators |
[255489566:13035261645:97336] |
Generators of the group modulo torsion |
j |
-85882368051664/266116698225 |
j-invariant |
L |
7.8701782499921 |
L(r)(E,1)/r! |
Ω |
0.14554978949647 |
Real period |
R |
13.518017224855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420t2 28560dn2 |
Quadratic twists by: -4 -3 |