Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dy |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
248400000000 = 210 · 33 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2592,-44776] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:40:1] |
Generators of the group modulo torsion |
j |
69657034752/8984375 |
j-invariant |
L |
8.0678853544895 |
L(r)(E,1)/r! |
Ω |
0.67478536470521 |
Real period |
R |
1.4945280707221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240x1 16560y1 66240dq1 |
Quadratic twists by: -4 8 -3 |