Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560l |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4163040000 = -1 · 28 · 32 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140,-2992] |
[a1,a2,a3,a4,a6] |
Generators |
[16:60:1] |
Generators of the group modulo torsion |
j |
1176960944/16261875 |
j-invariant |
L |
7.6555454121339 |
L(r)(E,1)/r! |
Ω |
0.6791718960278 |
Real period |
R |
1.4089852394017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120p2 |
Quadratic twists by: -4 |