Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bg |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6652857064448 = -1 · 210 · 710 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1111,-123647] |
[a1,a2,a3,a4,a6] |
Generators |
[656:16807:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
3.2985163494671 |
L(r)(E,1)/r! |
Ω |
0.3596884732954 |
Real period |
R |
4.5852405559076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128o1 18032r1 10304bc1 |
Quadratic twists by: -4 8 -7 |