Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454i |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-872640606097134 = -1 · 2 · 36 · 78 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28233,2320947] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12129:8] |
Generators of the group modulo torsion |
j |
-592231633/207646 |
j-invariant |
L |
5.2326424103138 |
L(r)(E,1)/r! |
Ω |
0.47074746482771 |
Real period |
R |
5.5578020077415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4606h2 41454u2 |
Quadratic twists by: -3 -7 |