Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bl |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.5831570613531E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539948,-952624208] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
0.53179119542704 |
L(r)(E,1)/r! |
Ω |
0.066473899407997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ei1 1530o1 16320bl1 |
Quadratic twists by: -4 8 -3 |