Atkin-Lehner |
2+ 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394b |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-44601678 = -1 · 2 · 39 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11+ 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-339,-2341] |
[a1,a2,a3,a4,a6] |
j |
-219256227/2266 |
j-invariant |
L |
1.1117881355819 |
L(r)(E,1)/r! |
Ω |
0.55589406779096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20394s1 |
Quadratic twists by: -3 |