Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024g |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
30714859728 = 24 · 32 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-947,7722] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:132:1] [-2:98:1] |
Generators of the group modulo torsion |
j |
49948672/16317 |
j-invariant |
L |
10.705265623421 |
L(r)(E,1)/r! |
Ω |
1.0830694519873 |
Real period |
R |
4.9420956357086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512bf1 12432h1 |
Quadratic twists by: -4 -7 |