Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950y |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336531250000 = 24 · 59 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-949305,356242697] |
[a1,a2,a3,a4,a6] |
Generators |
[575:216:1] |
Generators of the group modulo torsion |
j |
48440715480607437/172304 |
j-invariant |
L |
8.5330008340666 |
L(r)(E,1)/r! |
Ω |
0.64172403707708 |
Real period |
R |
3.3242485636455 |
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 |
48950n2 |
Quadratic twists by: 5 |