Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616m |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
65461928412672 = 29 · 38 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17464,792680] |
[a1,a2,a3,a4,a6] |
Generators |
[122:702:1] |
Generators of the group modulo torsion |
j |
649461896/72171 |
j-invariant |
L |
5.0845670492354 |
L(r)(E,1)/r! |
Ω |
0.60020767026755 |
Real period |
R |
2.1178365843646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11616t2 23232n4 34848bz3 1056i2 |
Quadratic twists by: -4 8 -3 -11 |