Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960w |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-16979328000 = -1 · 210 · 33 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9972,383336] |
[a1,a2,a3,a4,a6] |
Generators |
[37:255:1] |
Generators of the group modulo torsion |
j |
-3966493992192/614125 |
j-invariant |
L |
5.913281024673 |
L(r)(E,1)/r! |
Ω |
1.1923277253282 |
Real period |
R |
0.27552459403935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960dw1 3060c1 48960c2 |
Quadratic twists by: -4 8 -3 |