Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075k |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10942351003546875 = 33 · 56 · 1110 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-443226,-113501027] |
[a1,a2,a3,a4,a6] |
Generators |
[6646:73323:8] |
Generators of the group modulo torsion |
j |
347873904937/395307 |
j-invariant |
L |
6.8248149740213 |
L(r)(E,1)/r! |
Ω |
0.18504314321155 |
Real period |
R |
6.1470484266281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27225bo4 363a3 825b3 |
Quadratic twists by: -3 5 -11 |