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 |
1.1254559145984E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7643713,6330052031] |
[a1,a2,a3,a4,a6] |
j |
3160944030998056790089/720291785342976000 |
j-invariant |
L |
2.1639563518407 |
L(r)(E,1)/r! |
Ω |
0.12021979732448 |
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 |
92400hf3 34650s3 2310g3 80850fx3 |
Quadratic twists by: -4 -3 5 -7 |