Atkin-Lehner |
2+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
986c |
Isogeny class |
Conductor |
986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13081869376 = -1 · 26 · 172 · 294 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,44,5520] |
[a1,a2,a3,a4,a6] |
Generators |
[48:324:1] |
Generators of the group modulo torsion |
j |
9090072503/13081869376 |
j-invariant |
L |
2.1668844307302 |
L(r)(E,1)/r! |
Ω |
0.98682566845906 |
Real period |
R |
0.54895319912833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7888i2 31552h2 8874i2 24650bf2 |
Quadratic twists by: -4 8 -3 5 |