Atkin-Lehner |
3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10695f |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-576286050913875 = -1 · 312 · 53 · 234 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12632,-1016467] |
[a1,a2,a3,a4,a6] |
Generators |
[79:650:1] |
Generators of the group modulo torsion |
j |
222940763523926279/576286050913875 |
j-invariant |
L |
6.7119062756468 |
L(r)(E,1)/r! |
Ω |
0.26649795169323 |
Real period |
R |
0.69959952714684 |
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 |
32085a3 53475b3 |
Quadratic twists by: -3 5 |