Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960g |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12148890969600 = -1 · 29 · 33 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5224,81960] |
[a1,a2,a3,a4,a6] |
j |
30787903653688/23728302675 |
j-invariant |
L |
1.8295582153938 |
L(r)(E,1)/r! |
Ω |
0.45738955384872 |
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 |
36960t2 73920hn3 110880dl2 |
Quadratic twists by: -4 8 -3 |