Atkin-Lehner |
2- 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cs |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-58331760000000 = -1 · 210 · 3 · 57 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2037,-365583] |
[a1,a2,a3,a4,a6] |
Generators |
[422:-8911:1] |
Generators of the group modulo torsion |
j |
59822347031/3733232640 |
j-invariant |
L |
11.902646253987 |
L(r)(E,1)/r! |
Ω |
0.29868685797817 |
Real period |
R |
0.99624790444005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790b1 |
Quadratic twists by: 5 |