Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bo |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1269043200000 = -1 · 215 · 36 · 55 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,33968] |
[a1,a2,a3,a4,a6] |
j |
55742968/53125 |
j-invariant |
L |
1.1295347304233 |
L(r)(E,1)/r! |
Ω |
0.56476736529142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960bj1 24480n1 5440k1 |
Quadratic twists by: -4 8 -3 |