Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cb |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.898722050947E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144152364,-666130408400] |
[a1,a2,a3,a4,a6] |
Generators |
[30642417234153915050:19343427029891078814720:76825246678831] |
Generators of the group modulo torsion |
j |
1733490909744055732873/99355964553216 |
j-invariant |
L |
8.6270096713732 |
L(r)(E,1)/r! |
Ω |
0.043570807219181 |
Real period |
R |
24.749970851882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736en2 2898r2 30912bd2 |
Quadratic twists by: -4 8 -3 |