Atkin-Lehner |
7- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
67963b |
Isogeny class |
Conductor |
67963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
1142254141 = 77 · 19 · 73 |
Discriminant |
Eigenvalues |
0 -1 -1 7- -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] [0:9:1] |
Generators of the group modulo torsion |
j |
16777216/9709 |
j-invariant |
L |
6.5560891976024 |
L(r)(E,1)/r! |
Ω |
1.3046244222006 |
Real period |
R |
2.5126347039038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709a1 |
Quadratic twists by: -7 |