Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-20026397491200 = -1 · 216 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4308,185776] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:320:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
7.4579468240542 |
L(r)(E,1)/r! |
Ω |
0.47564915930587 |
Real period |
R |
1.9599390323867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240fy1 8280e1 22080bf1 |
Quadratic twists by: -4 8 -3 |