Atkin-Lehner |
3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12141a |
Isogeny class |
Conductor |
12141 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
2586033 = 33 · 19 · 712 |
Discriminant |
Eigenvalues |
1 3+ 0 4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,-205] |
[a1,a2,a3,a4,a6] |
Generators |
[-332:355:64] |
Generators of the group modulo torsion |
j |
1540798875/95779 |
j-invariant |
L |
6.4142304736928 |
L(r)(E,1)/r! |
Ω |
1.6442643542957 |
Real period |
R |
3.9009727705495 |
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 |
12141b1 |
Quadratic twists by: -3 |