Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bk |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-6.7818298792564E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31588287,-390265275969] |
[a1,a2,a3,a4,a6] |
j |
223090928422700449019831/4340371122724101696000 |
j-invariant |
L |
2.1639563518407 |
L(r)(E,1)/r! |
Ω |
0.030054949331121 |
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 |
92400hf7 34650s7 2310g8 80850fx7 |
Quadratic twists by: -4 -3 5 -7 |