Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736fm |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-41223748608 = -1 · 210 · 36 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-9704] |
[a1,a2,a3,a4,a6] |
Generators |
[45:301:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
5.7808027799139 |
L(r)(E,1)/r! |
Ω |
0.54943321849309 |
Real period |
R |
2.6303482317665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736bf1 23184bx1 10304bc1 |
Quadratic twists by: -4 8 -3 |