Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23088n |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
656414928 = 24 · 38 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2057,-36582] |
[a1,a2,a3,a4,a6] |
Generators |
[82:594:1] |
Generators of the group modulo torsion |
j |
60189081714688/41025933 |
j-invariant |
L |
7.4492652689352 |
L(r)(E,1)/r! |
Ω |
0.70891009046112 |
Real period |
R |
2.6270134143844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5772a1 92352cb1 69264r1 |
Quadratic twists by: -4 8 -3 |