Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896x |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-16370688 = -1 · 210 · 3 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -2 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,192] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
-292/3 |
j-invariant |
L |
5.4948086155428 |
L(r)(E,1)/r! |
Ω |
1.8751582140215 |
Real period |
R |
1.4651586574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896u1 |
Quadratic twists by: 73 |