Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048l |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2916590737408 = -1 · 211 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -4 -4 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,880,81844] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:134:1] [-20:238:1] |
Generators of the group modulo torsion |
j |
36757686238/1424116571 |
j-invariant |
L |
3.608496205566 |
L(r)(E,1)/r! |
Ω |
0.60758707971777 |
Real period |
R |
1.9796867126949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8024o2 64192ct2 |
Quadratic twists by: -4 8 |