Atkin-Lehner |
3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817i |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-961586101203 = -1 · 3 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2287,22082] |
[a1,a2,a3,a4,a6] |
Generators |
[138:4960:27] |
Generators of the group modulo torsion |
j |
32768000/23829 |
j-invariant |
L |
7.3935350934588 |
L(r)(E,1)/r! |
Ω |
0.56073982744634 |
Real period |
R |
3.2963304573767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89817e1 |
Quadratic twists by: -7 |