Atkin-Lehner |
7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100079f |
Isogeny class |
Conductor |
100079 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288512 |
Modular degree for the optimal curve |
Δ |
-1677551877149267 = -1 · 77 · 174 · 293 |
Discriminant |
Eigenvalues |
0 -1 2 7+ 2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12257,2042724] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1232:1] |
Generators of the group modulo torsion |
j |
-8350600527872/68783134903 |
j-invariant |
L |
4.763527953163 |
L(r)(E,1)/r! |
Ω |
0.40518251345652 |
Real period |
R |
1.46956241502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100079d1 |
Quadratic twists by: 29 |