Atkin-Lehner |
2- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4690d |
Isogeny class |
Conductor |
4690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
4596200 = 23 · 52 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24513067,46719862291] |
[a1,a2,a3,a4,a6] |
j |
1628983375885758062517401601/4596200 |
j-invariant |
L |
3.0657649011001 |
L(r)(E,1)/r! |
Ω |
0.51096081685002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37520k4 42210f4 23450e4 32830k4 |
Quadratic twists by: -4 -3 5 -7 |