Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bf |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1244410880 = -1 · 210 · 5 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,45,1697] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:33:1] [22:105:1] |
Generators of the group modulo torsion |
j |
34822511/4305920 |
j-invariant |
L |
17.346525233318 |
L(r)(E,1)/r! |
Ω |
1.1785366269882 |
Real period |
R |
0.73593492285496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810ba1 |
Quadratic twists by: 17 |