Atkin-Lehner |
2+ 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
25632g |
Isogeny class |
Conductor |
25632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-265752576 = -1 · 212 · 36 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -2 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[4:28:1] |
Generators of the group modulo torsion |
j |
-592704/89 |
j-invariant |
L |
6.6397956990247 |
L(r)(E,1)/r! |
Ω |
1.6845106941393 |
Real period |
R |
1.9708380962275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25632h1 51264bi1 2848b1 |
Quadratic twists by: -4 8 -3 |