Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cv |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3160215000000 = -1 · 26 · 37 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,88000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:306:1] |
Generators of the group modulo torsion |
j |
-438976/4335 |
j-invariant |
L |
8.0324834543925 |
L(r)(E,1)/r! |
Ω |
0.68068377818987 |
Real period |
R |
1.4750762027874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998901237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400da1 40800z1 24480u1 |
Quadratic twists by: -4 -3 5 |