Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005i |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
25153051046653125 = 315 · 55 · 23 · 293 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-124021,14938111] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:5611:1] |
Generators of the group modulo torsion |
j |
210966209738334797824/25153051046653125 |
j-invariant |
L |
3.6634099424648 |
L(r)(E,1)/r! |
Ω |
0.3647247512747 |
Real period |
R |
2.0088628093714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30015l1 50025e1 |
Quadratic twists by: -3 5 |