Atkin-Lehner |
3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15141g |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
834214411722447 = 32 · 77 · 1034 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27294,1028460] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1652:1] |
Generators of the group modulo torsion |
j |
19113403497553/7090705503 |
j-invariant |
L |
2.1799318721865 |
L(r)(E,1)/r! |
Ω |
0.45824677304289 |
Real period |
R |
2.3785567083333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45423k3 2163b3 |
Quadratic twists by: -3 -7 |