Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680cs |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-335788830720 = -1 · 212 · 39 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-27918] |
[a1,a2,a3,a4,a6] |
Generators |
[97:928:1] |
Generators of the group modulo torsion |
j |
-19683/4165 |
j-invariant |
L |
5.8013220236148 |
L(r)(E,1)/r! |
Ω |
0.42908884398013 |
Real period |
R |
3.3800238000879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355a1 85680dh1 |
Quadratic twists by: -4 -3 |