Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960y |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1905770493063360000 = 29 · 34 · 54 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-418360,80088008] |
[a1,a2,a3,a4,a6] |
j |
15816313046221571528/3722207994264375 |
j-invariant |
L |
3.9597963989034 |
L(r)(E,1)/r! |
Ω |
0.24748727493254 |
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 |
36960bn3 73920e3 110880cv3 |
Quadratic twists by: -4 8 -3 |