Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175i |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-703246811484375 = -1 · 33 · 57 · 192 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17374,-920977] |
[a1,a2,a3,a4,a6] |
Generators |
[438:3311:8] |
Generators of the group modulo torsion |
j |
37122658487279/45007795935 |
j-invariant |
L |
5.5163828344578 |
L(r)(E,1)/r! |
Ω |
0.27276785100623 |
Real period |
R |
1.6853106692778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835e1 |
Quadratic twists by: 5 |