Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cg |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-7744000000 = -1 · 212 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,510512] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:822:1] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
9.6423666913126 |
L(r)(E,1)/r! |
Ω |
1.2356550432292 |
Real period |
R |
3.9017227114253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025c1 1936l1 48400ch2 |
Quadratic twists by: -4 5 -11 |