Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616m |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
718375071744 = 212 · 32 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64049,-6260289] |
[a1,a2,a3,a4,a6] |
Generators |
[23716:293475:64] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
5.0845670492354 |
L(r)(E,1)/r! |
Ω |
0.30010383513378 |
Real period |
R |
8.4713463374583 |
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 |
11616t3 23232n1 34848bz4 1056i3 |
Quadratic twists by: -4 8 -3 -11 |