Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bg |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73764335069577216 = 214 · 32 · 298 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262672,50054420] |
[a1,a2,a3,a4,a6] |
Generators |
[3540290:1876123536:274625] |
Generators of the group modulo torsion |
j |
822656953/30276 |
j-invariant |
L |
8.7638719195246 |
L(r)(E,1)/r! |
Ω |
0.34251278116028 |
Real period |
R |
12.793496186967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5046h2 121104ca2 1392h2 |
Quadratic twists by: -4 -3 29 |