Atkin-Lehner |
2+ 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502a |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
-552200868 = -1 · 22 · 33 · 17 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102,1224] |
[a1,a2,a3,a4,a6] |
j |
-4370722875/20451884 |
j-invariant |
L |
1.900724005074 |
L(r)(E,1)/r! |
Ω |
1.4255430038055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20502y2 |
Quadratic twists by: -3 |