Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
975a |
Isogeny class |
Conductor |
975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9283447265625 = 32 · 514 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203125,-35321000] |
[a1,a2,a3,a4,a6] |
Generators |
[141058840:1946156680:226981] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
2.6002925141077 |
L(r)(E,1)/r! |
Ω |
0.22488407003775 |
Real period |
R |
11.562813291627 |
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 |
15600bz5 62400cs6 2925g5 195a5 |
Quadratic twists by: -4 8 -3 5 |