Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bb |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2680750080000 = -1 · 219 · 34 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,78719] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:75:1] [-13:288:1] |
Generators of the group modulo torsion |
j |
-47045881/10226250 |
j-invariant |
L |
11.408140534627 |
L(r)(E,1)/r! |
Ω |
0.65970865241647 |
Real period |
R |
0.5403967196422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bz1 3030f1 |
Quadratic twists by: -4 8 |