Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
51442i |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1196692009680896 = -1 · 215 · 177 · 89 |
Discriminant |
Eigenvalues |
2- 3 1 0 0 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25233,618103] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:18562:27] |
Generators of the group modulo torsion |
j |
73612739871/49577984 |
j-invariant |
L |
17.582627107503 |
L(r)(E,1)/r! |
Ω |
0.30599215794964 |
Real period |
R |
1.9153679433336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026c1 |
Quadratic twists by: 17 |