Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2105967276000000 = 28 · 37 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-704847,-227756086] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:53550:1] |
Generators of the group modulo torsion |
j |
207510838537157584/11284546875 |
j-invariant |
L |
7.5334829475449 |
L(r)(E,1)/r! |
Ω |
0.16476966466986 |
Real period |
R |
1.270036057429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420z4 28560cc4 |
Quadratic twists by: -4 -3 |