Atkin-Lehner |
3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975a |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46270751953125 = 3 · 514 · 7 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1011125,-391762500] |
[a1,a2,a3,a4,a6] |
Generators |
[-772904110:389354937:1331000] |
Generators of the group modulo torsion |
j |
7316761561829228881/2961328125 |
j-invariant |
L |
3.8671294315315 |
L(r)(E,1)/r! |
Ω |
0.15055607951616 |
Real period |
R |
12.842820575427 |
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 |
29925r6 1995h5 69825bw6 |
Quadratic twists by: -3 5 -7 |