Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368y |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-1350979403306544 = -1 · 24 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-923517,341295030] |
[a1,a2,a3,a4,a6] |
Generators |
[15042:3410:27] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
6.3223532949666 |
L(r)(E,1)/r! |
Ω |
0.44074989617517 |
Real period |
R |
3.5861343075926 |
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 |
4092a1 65472bo1 49104bj1 |
Quadratic twists by: -4 8 -3 |