Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736bz |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2769709561635373056 = 215 · 310 · 76 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4635084,3840078800] |
[a1,a2,a3,a4,a6] |
Generators |
[850:22680:1] |
Generators of the group modulo torsion |
j |
461019267341732744/115946266023 |
j-invariant |
L |
8.5956624609023 |
L(r)(E,1)/r! |
Ω |
0.24884603856969 |
Real period |
R |
1.4392537837012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736bo2 46368bo2 30912p2 |
Quadratic twists by: -4 8 -3 |