Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588x |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
101708831952 = 24 · 310 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,-18083] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1638:1] |
Generators of the group modulo torsion |
j |
16384000/3969 |
j-invariant |
L |
5.4122653290265 |
L(r)(E,1)/r! |
Ω |
0.7730544990209 |
Real period |
R |
1.7502858258633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196o1 42588l1 |
Quadratic twists by: -3 13 |