Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464l |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-135424 = -1 · 28 · 232 |
Discriminant |
Eigenvalues |
2- 0 -1 2 -4 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,-46] |
[a1,a2,a3,a4,a6] |
Generators |
[50:59:8] |
Generators of the group modulo torsion |
j |
-9936 |
j-invariant |
L |
3.8922070766705 |
L(r)(E,1)/r! |
Ω |
1.0838464075279 |
Real period |
R |
3.5911057596694 |
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 |
2116b1 33856y1 76176bv1 8464k1 |
Quadratic twists by: -4 8 -3 -23 |