Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
51264bi |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-4152384 = -1 · 26 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 4 2 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,216] |
[a1,a2,a3,a4,a6] |
j |
-592704/89 |
j-invariant |
L |
2.3822578706354 |
L(r)(E,1)/r! |
Ω |
2.3822578696144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51264bk1 25632g1 5696l1 |
Quadratic twists by: -4 8 -3 |