Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bb |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1406789341602372 = 22 · 310 · 7 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48227,3667295] |
[a1,a2,a3,a4,a6] |
Generators |
[63:904:1] |
Generators of the group modulo torsion |
j |
17016039410180329/1929752183268 |
j-invariant |
L |
6.9186590478791 |
L(r)(E,1)/r! |
Ω |
0.46452627709006 |
Real period |
R |
3.7235025170202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926q1 |
Quadratic twists by: -3 |