Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cp |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-121565609984 = -1 · 221 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3969,96383] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-64:1] |
Generators of the group modulo torsion |
j |
-156116857/2744 |
j-invariant |
L |
10.58500125356 |
L(r)(E,1)/r! |
Ω |
1.0482676974321 |
Real period |
R |
0.84146772835975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712g2 18928y2 75712by2 |
Quadratic twists by: -4 8 13 |