Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bx |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
961337403000 = 23 · 39 · 53 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52047,4583061] |
[a1,a2,a3,a4,a6] |
Generators |
[69:1113:1] |
Generators of the group modulo torsion |
j |
171111015873413/10549656 |
j-invariant |
L |
3.9541102034386 |
L(r)(E,1)/r! |
Ω |
0.83516852627067 |
Real period |
R |
0.59181322153692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150cl2 99450dp2 |
Quadratic twists by: -3 5 |