Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ba |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-7455882608640 = -1 · 218 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9612,385776] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:864:1] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
7.5628517867353 |
L(r)(E,1)/r! |
Ω |
0.7288979850749 |
Real period |
R |
2.5939335618989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dz1 765a1 48960g1 |
Quadratic twists by: -4 8 -3 |