Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bi |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1102248000000000 = 212 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91853833,-338808889463] |
[a1,a2,a3,a4,a6] |
j |
10713357105862263488/137781 |
j-invariant |
L |
0.097533818855612 |
L(r)(E,1)/r! |
Ω |
0.048766909427763 |
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 |
33600dk2 16800w1 100800gm2 33600dr2 |
Quadratic twists by: -4 8 -3 5 |