Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1040b |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4326400 = -1 · 210 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
1.9560341447686 |
L(r)(E,1)/r! |
Ω |
1.9553595957099 |
Real period |
R |
0.50017248721415 |
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 |
520b2 4160m2 9360k2 5200b2 |
Quadratic twists by: -4 8 -3 5 |