Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550s |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1506688389360000000 = 210 · 33 · 57 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2230273251,40539952538398] |
[a1,a2,a3,a4,a6] |
j |
78519570041710065450485106721/96428056919040 |
j-invariant |
L |
1.4405465755448 |
L(r)(E,1)/r! |
Ω |
0.12004554796207 |
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 |
92400ek4 34650cv4 2310o4 80850j4 |
Quadratic twists by: -4 -3 5 -7 |