Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dj |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
11589350400 = 210 · 39 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,3672] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:100:1] [1:55:1] |
Generators of the group modulo torsion |
j |
1492992/575 |
j-invariant |
L |
9.6572802515629 |
L(r)(E,1)/r! |
Ω |
1.1602096161124 |
Real period |
R |
4.1618687336641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240j1 16560e1 66240eb1 |
Quadratic twists by: -4 8 -3 |