Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736bz |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-1364555241189568512 = -1 · 212 · 38 · 73 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254964,74927648] |
[a1,a2,a3,a4,a6] |
Generators |
[286:5040:1] |
Generators of the group modulo torsion |
j |
-613864936718272/456986789343 |
j-invariant |
L |
8.5956624609023 |
L(r)(E,1)/r! |
Ω |
0.24884603856969 |
Real period |
R |
2.8785075674023 |
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 |
92736bo1 46368bo1 30912p1 |
Quadratic twists by: -4 8 -3 |