Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200a |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1405536000000 = -1 · 211 · 3 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2192,-41888] |
[a1,a2,a3,a4,a6] |
Generators |
[42:350:1] |
Generators of the group modulo torsion |
j |
36382894/43923 |
j-invariant |
L |
3.6863609963187 |
L(r)(E,1)/r! |
Ω |
0.45799051533468 |
Real period |
R |
2.0122474554003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6600bb4 52800gr3 39600w3 528d4 |
Quadratic twists by: -4 8 -3 5 |