Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005k |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
41026753125 = 39 · 55 · 23 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 2 -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-31666,-2179460] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:4:1] |
Generators of the group modulo torsion |
j |
3511697101967355904/41026753125 |
j-invariant |
L |
2.7112908345658 |
L(r)(E,1)/r! |
Ω |
0.35789070100013 |
Real period |
R |
0.84175011066821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30015n1 50025h1 |
Quadratic twists by: -3 5 |