Atkin-Lehner |
2- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584k |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
44447312 = 24 · 74 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,2590] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:68:1] |
Generators of the group modulo torsion |
j |
348224438272/2777957 |
j-invariant |
L |
3.1330330103542 |
L(r)(E,1)/r! |
Ω |
2.0346051642137 |
Real period |
R |
3.0797455955311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995652398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32396d1 |
Quadratic twists by: -4 |