Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bm |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-374134464000000 = -1 · 212 · 312 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17392,-300288] |
[a1,a2,a3,a4,a6] |
j |
9090072503/5845851 |
j-invariant |
L |
2.4548747042429 |
L(r)(E,1)/r! |
Ω |
0.30685933803036 |
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 |
825b4 52800hf3 39600ed3 528h4 |
Quadratic twists by: -4 8 -3 5 |