Atkin-Lehner |
3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11457d |
Isogeny class |
Conductor |
11457 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10632290769 = 38 · 192 · 672 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,-4314] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:45:1] |
Generators of the group modulo torsion |
j |
45767461033/14584761 |
j-invariant |
L |
2.0817688618266 |
L(r)(E,1)/r! |
Ω |
0.96175858700783 |
Real period |
R |
2.1645440861654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3819d2 |
Quadratic twists by: -3 |