Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2184k |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-14198668848 = -1 · 24 · 37 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,517,-3354] |
[a1,a2,a3,a4,a6] |
Generators |
[19:117:1] |
Generators of the group modulo torsion |
j |
953312000000/887416803 |
j-invariant |
L |
3.4798031617156 |
L(r)(E,1)/r! |
Ω |
0.68507701351598 |
Real period |
R |
0.3628166816141 |
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 |
4368e1 17472b1 6552f1 54600i1 |
Quadratic twists by: -4 8 -3 5 |