Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bt |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
4120657920 = 214 · 37 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4188,104272] |
[a1,a2,a3,a4,a6] |
Generators |
[44:72:1] |
Generators of the group modulo torsion |
j |
680136784/345 |
j-invariant |
L |
5.8424684960752 |
L(r)(E,1)/r! |
Ω |
1.3690394976177 |
Real period |
R |
1.0668918805108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ej1 8280l1 22080bj1 |
Quadratic twists by: -4 8 -3 |