Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464b |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1083392 = -1 · 211 · 232 |
Discriminant |
Eigenvalues |
2+ 1 2 2 4 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,52] |
[a1,a2,a3,a4,a6] |
j |
46 |
j-invariant |
L |
4.1289513260564 |
L(r)(E,1)/r! |
Ω |
2.0644756630282 |
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 |
4232b1 33856bh1 76176t1 8464f1 |
Quadratic twists by: -4 8 -3 -23 |