Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994bb |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
55291392 = 29 · 32 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -2 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114,255] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:23:1] [1:11:1] |
Generators of the group modulo torsion |
j |
970039993/327168 |
j-invariant |
L |
12.167870093874 |
L(r)(E,1)/r! |
Ω |
1.829864701024 |
Real period |
R |
0.36942227620236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994l1 |
Quadratic twists by: 13 |