Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960i |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1280664000000 = -1 · 29 · 33 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2920,-80600] |
[a1,a2,a3,a4,a6] |
j |
-5379612920648/2501296875 |
j-invariant |
L |
1.9057461572601 |
L(r)(E,1)/r! |
Ω |
0.31762435954451 |
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 |
36960z2 73920gm2 110880cx2 |
Quadratic twists by: -4 8 -3 |