Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960x |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
787100160 = 29 · 3 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1160,-15540] |
[a1,a2,a3,a4,a6] |
j |
337444269128/1537305 |
j-invariant |
L |
3.2729013059904 |
L(r)(E,1)/r! |
Ω |
0.8182253265 |
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 |
36960n3 73920ee4 110880ct3 |
Quadratic twists by: -4 8 -3 |