Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550bt |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4015398252978000000 = 27 · 310 · 56 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12414267,-16832264859] |
[a1,a2,a3,a4,a6] |
Generators |
[71982:-6232041:8] |
Generators of the group modulo torsion |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
5.2043828479282 |
L(r)(E,1)/r! |
Ω |
0.080430316394417 |
Real period |
R |
5.3922275840737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850cf2 2142q2 |
Quadratic twists by: -3 5 |