Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960j |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1735555852800 = 29 · 33 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2469640,-1492998188] |
[a1,a2,a3,a4,a6] |
j |
3253530474880969711688/3389757525 |
j-invariant |
L |
0.96345428892463 |
L(r)(E,1)/r! |
Ω |
0.12043178611334 |
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 |
36960bb4 73920gn4 110880cy4 |
Quadratic twists by: -4 8 -3 |