Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bg |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
28393908480 = 28 · 39 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,2322] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:98:1] |
Generators of the group modulo torsion |
j |
10536048/5635 |
j-invariant |
L |
7.0207520765461 |
L(r)(E,1)/r! |
Ω |
1.0338202571353 |
Real period |
R |
1.6977690338842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920c1 57960f1 |
Quadratic twists by: -4 -3 |