Atkin-Lehner |
2+ 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866j |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7981550820936 = 23 · 316 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19225,1015316] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1451:1] |
Generators of the group modulo torsion |
j |
785760664187511433/7981550820936 |
j-invariant |
L |
5.3982127375536 |
L(r)(E,1)/r! |
Ω |
0.74187321932657 |
Real period |
R |
0.90955782553618 |
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 |
59598bf2 |
Quadratic twists by: -3 |