Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550b |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1.2588433808672E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,134050,169711500] |
[a1,a2,a3,a4,a6] |
Generators |
[-131806459:3072585258:357911] |
Generators of the group modulo torsion |
j |
27278410559375/1289055622008 |
j-invariant |
L |
2.6127242109082 |
L(r)(E,1)/r! |
Ω |
0.1706366587552 |
Real period |
R |
15.311623129333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400hg2 34650db2 11550cr2 80850ca2 |
Quadratic twists by: -4 -3 5 -7 |