Atkin-Lehner |
3- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72891c |
Isogeny class |
Conductor |
72891 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
-1050688558647 = -1 · 310 · 7 · 134 · 89 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4446,-123201] |
[a1,a2,a3,a4,a6] |
Generators |
[1345110:48584679:1000] |
Generators of the group modulo torsion |
j |
-13333970928097/1441273743 |
j-invariant |
L |
8.9688171485034 |
L(r)(E,1)/r! |
Ω |
0.2905568108956 |
Real period |
R |
7.7169221403532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24297b1 |
Quadratic twists by: -3 |