Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248m |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
185426694544 = 24 · 74 · 136 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -3 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,52753] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:169:1] [9:169:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
8.8388515718275 |
L(r)(E,1)/r! |
Ω |
0.98767667559544 |
Real period |
R |
1.1186418326741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248r1 392c1 |
Quadratic twists by: -7 13 |