Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bx |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
88059456000000 = 212 · 32 · 56 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48960,4161600] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-850:1] |
Generators of the group modulo torsion |
j |
3168814830315841/21498890625 |
j-invariant |
L |
4.3646291717096 |
L(r)(E,1)/r! |
Ω |
0.60789658141421 |
Real period |
R |
0.59832397262744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002862 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865h2 |
Quadratic twists by: -4 |