Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975o |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1554697265625 = 32 · 510 · 72 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83126,9217523] |
[a1,a2,a3,a4,a6] |
Generators |
[423:6844:1] |
Generators of the group modulo torsion |
j |
4065433152958801/99500625 |
j-invariant |
L |
6.7750644074481 |
L(r)(E,1)/r! |
Ω |
0.78425938321181 |
Real period |
R |
4.3194028356422 |
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 |
29925bd2 1995c2 69825p2 |
Quadratic twists by: -3 5 -7 |