Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684t |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-128640947952384 = -1 · 28 · 39 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,-648956] |
[a1,a2,a3,a4,a6] |
Generators |
[140:882:1] |
Generators of the group modulo torsion |
j |
-4194304/5859 |
j-invariant |
L |
4.8038774414672 |
L(r)(E,1)/r! |
Ω |
0.23063487143716 |
Real period |
R |
0.86787205599893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228l1 7812g1 |
Quadratic twists by: -3 -7 |