Atkin-Lehner |
7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19481c |
Isogeny class |
Conductor |
19481 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3137434531 = 7 · 117 · 23 |
Discriminant |
Eigenvalues |
1 -1 -1 7+ 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-728,6769] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:129:1] |
Generators of the group modulo torsion |
j |
24137569/1771 |
j-invariant |
L |
3.4261423684649 |
L(r)(E,1)/r! |
Ω |
1.3903665394095 |
Real period |
R |
0.61605020535091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771d1 |
Quadratic twists by: -11 |