Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dg |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
7243344000000 = 210 · 39 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5952,120296] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-675:1] [-23:495:1] |
Generators of the group modulo torsion |
j |
31238127616/9703125 |
j-invariant |
L |
9.8940099023985 |
L(r)(E,1)/r! |
Ω |
0.68927253420958 |
Real period |
R |
1.1961898730628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240fq1 4140e1 22080f1 |
Quadratic twists by: -4 8 -3 |