Atkin-Lehner |
11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9251a |
Isogeny class |
Conductor |
9251 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6543056531 = -1 · 11 · 296 |
Discriminant |
Eigenvalues |
2 1 1 -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6576900,-6494214623] |
[a1,a2,a3,a4,a6] |
Generators |
[24710379955094669444625512993645974168176831279201250320736299168760:1458193270193098272815143379838117393791407602390801170274271799833719:4901455362429530313964115769685293021832689870318765618855616000] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
9.727616822553 |
L(r)(E,1)/r! |
Ω |
0.04713725019513 |
Real period |
R |
103.18396578379 |
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 |
83259m3 101761i3 11a2 |
Quadratic twists by: -3 -11 29 |