Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464m |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10264377462751232 = 217 · 238 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1440467,-665413230] |
[a1,a2,a3,a4,a6] |
Generators |
[7932309:-598835406:1331] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
2.2606480813796 |
L(r)(E,1)/r! |
Ω |
0.13780803352063 |
Real period |
R |
8.2021636316331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1058a2 33856bc2 76176cl2 368b2 |
Quadratic twists by: -4 8 -3 -23 |