Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bn |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
48 |
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 |
2.2909796338569 |
L(r)(E,1)/r! |
Ω |
0.19091496949035 |
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 |
36960y3 73920db3 110880bo3 |
Quadratic twists by: -4 8 -3 |