Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dw |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15094000274669568 = 215 · 312 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101057484,391021678672] |
[a1,a2,a3,a4,a6] |
Generators |
[-2134:772632:1] |
Generators of the group modulo torsion |
j |
4778061038325269847944/631868769 |
j-invariant |
L |
8.0828237547452 |
L(r)(E,1)/r! |
Ω |
0.22473087647566 |
Real period |
R |
4.4958351305144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fl4 38304o4 25536cu4 |
Quadratic twists by: -4 8 -3 |