Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550bq |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-1591747349510707200 = -1 · 211 · 317 · 52 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6897807,-6971459859] |
[a1,a2,a3,a4,a6] |
Generators |
[146872505001157635:23032831809069921279:5866086192875] |
Generators of the group modulo torsion |
j |
-1991541343509695978905/87338674870272 |
j-invariant |
L |
5.1638459568167 |
L(r)(E,1)/r! |
Ω |
0.046579052896444 |
Real period |
R |
27.715494603857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850ce1 53550ei1 |
Quadratic twists by: -3 5 |