Atkin-Lehner |
3- 5+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93525p |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-7891171875 = -1 · 34 · 57 · 29 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 0 2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,349,-3427] |
[a1,a2,a3,a4,a6] |
Generators |
[57:421:1] |
Generators of the group modulo torsion |
j |
302111711/505035 |
j-invariant |
L |
12.316935765638 |
L(r)(E,1)/r! |
Ω |
0.69177474254206 |
Real period |
R |
1.1128022420898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18705b1 |
Quadratic twists by: 5 |