Atkin-Lehner |
2- 3+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780d |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3114720000 = -1 · 28 · 33 · 54 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,288,-1916] |
[a1,a2,a3,a4,a6] |
Generators |
[8:30:1] |
Generators of the group modulo torsion |
j |
382205952/450625 |
j-invariant |
L |
6.9755463347805 |
L(r)(E,1)/r! |
Ω |
0.7634076308105 |
Real period |
R |
0.38072420334767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129780a1 |
Quadratic twists by: -3 |