Atkin-Lehner |
2+ 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
25632h |
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 |
[37:199:1] |
Generators of the group modulo torsion |
j |
-592704/89 |
j-invariant |
L |
4.5598568094971 |
L(r)(E,1)/r! |
Ω |
0.59420048622621 |
Real period |
R |
3.8369682583541 |
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 |
25632g1 51264bk1 2848c1 |
Quadratic twists by: -4 8 -3 |