Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778w |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-2619992466 = -1 · 2 · 36 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,283,-1713] |
[a1,a2,a3,a4,a6] |
Generators |
[4872:18901:512] |
Generators of the group modulo torsion |
j |
3449795831/3593954 |
j-invariant |
L |
9.3328466824666 |
L(r)(E,1)/r! |
Ω |
0.78147256460045 |
Real period |
R |
5.9713207508555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642a1 |
Quadratic twists by: -3 |