Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056y |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24105848832 = 212 · 39 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2835,57618] |
[a1,a2,a3,a4,a6] |
j |
31255875/299 |
j-invariant |
L |
2.4068468607299 |
L(r)(E,1)/r! |
Ω |
1.2034234304094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2691a1 43056w1 |
Quadratic twists by: -4 -3 |