Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464i |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-286557184 = -1 · 210 · 234 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 -2 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:46:1] [-5:44:1] |
Generators of the group modulo torsion |
j |
-2116 |
j-invariant |
L |
3.9190393811437 |
L(r)(E,1)/r! |
Ω |
1.6178391658864 |
Real period |
R |
0.40373186900375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4232j1 33856bl1 76176d1 8464h1 |
Quadratic twists by: -4 8 -3 -23 |