Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627r |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10287114227172363 = 3 · 78 · 296 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32308715,70682367599] |
[a1,a2,a3,a4,a6] |
Generators |
[3457542720893547027644226222:-237246622272147034997398453:1049029582360661946063144] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
10.715496561139 |
L(r)(E,1)/r! |
Ω |
0.2682503772033 |
Real period |
R |
39.94587677996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661a5 147a5 |
Quadratic twists by: -7 29 |