Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736bp |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2180652171264 = 215 · 310 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8076,270160] |
[a1,a2,a3,a4,a6] |
Generators |
[2:504:1] |
Generators of the group modulo torsion |
j |
2438569736/91287 |
j-invariant |
L |
5.2856158932734 |
L(r)(E,1)/r! |
Ω |
0.81658364745093 |
Real period |
R |
0.8091050930062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cc2 46368bk2 30912s2 |
Quadratic twists by: -4 8 -3 |