Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bl |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
19982160 = 24 · 33 · 5 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-485,-3948] |
[a1,a2,a3,a4,a6] |
Generators |
[10708256:192828587:32768] |
Generators of the group modulo torsion |
j |
790176464896/1248885 |
j-invariant |
L |
6.489074083672 |
L(r)(E,1)/r! |
Ω |
1.0172571484251 |
Real period |
R |
12.757981779904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140k1 |
Quadratic twists by: -4 |