Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565z |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
207542938455703125 = 36 · 57 · 118 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11- 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1062138,420756718] |
[a1,a2,a3,a4,a6] |
Generators |
[422:6905:1] |
Generators of the group modulo torsion |
j |
848003301376/1328125 |
j-invariant |
L |
5.8460596353821 |
L(r)(E,1)/r! |
Ω |
0.31637865841019 |
Real period |
R |
6.159348917001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285k1 92565be1 |
Quadratic twists by: -3 -11 |