Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096q |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-321206928891969536 = -1 · 243 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 1 1 -5 4 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-883745,-321225889] |
[a1,a2,a3,a4,a6] |
Generators |
[1245541618198:-46558928752513:642735647] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
6.025176780616 |
L(r)(E,1)/r! |
Ω |
0.077835624609482 |
Real period |
R |
19.3522465158 |
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 |
44096g1 11024h1 |
Quadratic twists by: -4 8 |