Atkin-Lehner |
2+ 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20394i |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-41347029567799296 = -1 · 219 · 38 · 11 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11+ 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-657738,205715700] |
[a1,a2,a3,a4,a6] |
j |
-43167346707673505953/56717461684224 |
j-invariant |
L |
0.72265794930347 |
L(r)(E,1)/r! |
Ω |
0.36132897465173 |
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 |
6798l1 |
Quadratic twists by: -3 |