Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240m |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3255828480 = 220 · 33 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-4752] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] [36:144:1] |
Generators of the group modulo torsion |
j |
3176523/460 |
j-invariant |
L |
8.657466628967 |
L(r)(E,1)/r! |
Ω |
0.97888525137767 |
Real period |
R |
4.4221049488713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dl1 2070d1 66240r1 |
Quadratic twists by: -4 8 -3 |