Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400da |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
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 |
[64:288:1] |
Generators of the group modulo torsion |
j |
-438976/4335 |
j-invariant |
L |
4.6936593989705 |
L(r)(E,1)/r! |
Ω |
0.33834101999795 |
Real period |
R |
3.4681424196705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cv1 40800k1 24480s1 |
Quadratic twists by: -4 -3 5 |