Atkin-Lehner |
3+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005f |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
50025 = 3 · 52 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40,80] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] |
Generators of the group modulo torsion |
j |
7088952961/50025 |
j-invariant |
L |
2.0262825754917 |
L(r)(E,1)/r! |
Ω |
3.5832760093501 |
Real period |
R |
1.1309665067409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30015e1 50025u1 |
Quadratic twists by: -3 5 |