Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704bg |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
9760113212387328 = 212 · 310 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73761,6046767] |
[a1,a2,a3,a4,a6] |
j |
92100460096/20253807 |
j-invariant |
L |
3.8537050881545 |
L(r)(E,1)/r! |
Ω |
0.38537050881545 |
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 |
4704h2 9408t1 14112bc2 117600s2 |
Quadratic twists by: -4 8 -3 5 |