Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704be |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
29884728384 = 26 · 34 · 78 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1094,-11544] |
[a1,a2,a3,a4,a6] |
j |
19248832/3969 |
j-invariant |
L |
1.6842140870245 |
L(r)(E,1)/r! |
Ω |
0.84210704351223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4704v1 9408bz2 14112t1 117600l1 |
Quadratic twists by: -4 8 -3 5 |