Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
264c |
Isogeny class |
Conductor |
264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
278784 = 28 · 32 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,96] |
[a1,a2,a3,a4,a6] |
j |
37642192/1089 |
j-invariant |
L |
1.5381718852002 |
L(r)(E,1)/r! |
Ω |
3.0763437704003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
528b2 2112g2 792e2 6600v2 |
Quadratic twists by: -4 8 -3 5 |