Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23200i |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
18125000000 = 26 · 510 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-758,-5012] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:28:1] [-12:50:1] |
Generators of the group modulo torsion |
j |
48228544/18125 |
j-invariant |
L |
4.994129675667 |
L(r)(E,1)/r! |
Ω |
0.93882003594869 |
Real period |
R |
2.6597907396703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23200a1 46400t2 4640d1 |
Quadratic twists by: -4 8 5 |