Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328i |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7.2402986836532E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849345,-1329480801] |
[a1,a2,a3,a4,a6] |
Generators |
[1371:9216:1] |
Generators of the group modulo torsion |
j |
-258485808917791729/2761954759084032 |
j-invariant |
L |
4.2826143706949 |
L(r)(E,1)/r! |
Ω |
0.068170297940751 |
Real period |
R |
1.7450636698181 |
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 |
11328n2 354e2 33984r2 |
Quadratic twists by: -4 8 -3 |