Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008br |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-39710688804864 = -1 · 223 · 35 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1856,-304128] |
[a1,a2,a3,a4,a6] |
Generators |
[864:25344:1] |
Generators of the group modulo torsion |
j |
-172715635009/9694992384 |
j-invariant |
L |
5.2665894614522 |
L(r)(E,1)/r! |
Ω |
0.28380208800401 |
Real period |
R |
2.3196576438157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626o1 |
Quadratic twists by: -4 |