Atkin-Lehner |
2- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646bg |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-13373642485460096 = -1 · 27 · 79 · 174 · 31 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-930054,345508629] |
[a1,a2,a3,a4,a6] |
Generators |
[597:1367:1] [-831:23739:1] |
Generators of the group modulo torsion |
j |
-756239798263546017/113674085504 |
j-invariant |
L |
7.0865318281101 |
L(r)(E,1)/r! |
Ω |
0.38439948112276 |
Real period |
R |
0.16460117329831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378s1 |
Quadratic twists by: -7 |