Atkin-Lehner |
3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005b |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
2339617030153125 = 3 · 55 · 233 · 295 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 4 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-609991,183560811] |
[a1,a2,a3,a4,a6] |
Generators |
[405:1667:1] |
Generators of the group modulo torsion |
j |
25101212833837967048704/2339617030153125 |
j-invariant |
L |
2.9053534871774 |
L(r)(E,1)/r! |
Ω |
0.44014353209526 |
Real period |
R |
0.44006152165057 |
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 |
30015h1 50025o1 |
Quadratic twists by: -3 5 |