Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953ba |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
2216154213 = 32 · 77 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -3 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,2090] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:73:1] |
Generators of the group modulo torsion |
j |
64000000/18837 |
j-invariant |
L |
3.7298824489016 |
L(r)(E,1)/r! |
Ω |
1.3574406534392 |
Real period |
R |
0.34346643805981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279a1 |
Quadratic twists by: -7 |