Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cj |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.7232751578174E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258863619,1602881322770] |
[a1,a2,a3,a4,a6] |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
2.2669063911487 |
L(r)(E,1)/r! |
Ω |
0.09445443347608 |
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 |
38808ce2 25872f2 11088p2 |
Quadratic twists by: -4 -3 -7 |