Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510du |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1001123808711468750 = 2 · 38 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-384782,-78150369] |
[a1,a2,a3,a4,a6] |
Generators |
[-1922:5907:8] |
Generators of the group modulo torsion |
j |
214169197087/34031250 |
j-invariant |
L |
9.9488944721086 |
L(r)(E,1)/r! |
Ω |
0.19374479558145 |
Real period |
R |
4.2792093426438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170i2 48510cx2 |
Quadratic twists by: -3 -7 |