Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502w |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-440576949924 = -1 · 22 · 39 · 174 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187,-31967] |
[a1,a2,a3,a4,a6] |
Generators |
[31:38:1] |
Generators of the group modulo torsion |
j |
36926037/22383628 |
j-invariant |
L |
7.0266121572887 |
L(r)(E,1)/r! |
Ω |
0.4394048367458 |
Real period |
R |
1.9989004357938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20502c1 |
Quadratic twists by: -3 |