Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cx |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-780580540800000 = -1 · 210 · 315 · 55 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6132,-1356856] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3645:1] |
Generators of the group modulo torsion |
j |
-34158804736/1045659375 |
j-invariant |
L |
4.130389949345 |
L(r)(E,1)/r! |
Ω |
0.21923559209755 |
Real period |
R |
0.94199803731467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960fp1 3060h1 16320j1 |
Quadratic twists by: -4 8 -3 |