Atkin-Lehner |
2- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93058k |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
1296107786646658048 = 210 · 73 · 178 · 232 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 4 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-276868,11976208] |
[a1,a2,a3,a4,a6] |
Generators |
[24:2300:1] |
Generators of the group modulo torsion |
j |
336473394625/185801728 |
j-invariant |
L |
11.789476999849 |
L(r)(E,1)/r! |
Ω |
0.23592080216969 |
Real period |
R |
0.83286968083479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93058o1 |
Quadratic twists by: 17 |