Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024t |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2308610304 = 28 · 32 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404,2244] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:66:1] [-10:72:1] |
Generators of the group modulo torsion |
j |
28556329552/9018009 |
j-invariant |
L |
5.9738797217646 |
L(r)(E,1)/r! |
Ω |
1.3468092115123 |
Real period |
R |
1.1088949479076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048bb2 72072k2 |
Quadratic twists by: -4 -3 |