Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288bf |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
3845975526915442128 = 24 · 34 · 139 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-446723,65757756] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:12167:1] |
Generators of the group modulo torsion |
j |
58107136000/22667121 |
j-invariant |
L |
2.9122806633652 |
L(r)(E,1)/r! |
Ω |
0.22593605922198 |
Real period |
R |
3.2224611243043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93288i1 |
Quadratic twists by: 13 |