Atkin-Lehner |
5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225s |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
-72072875 = -1 · 53 · 73 · 412 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- -1 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-618,6138] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:87:1] [-8:102:1] |
Generators of the group modulo torsion |
j |
-609800192/1681 |
j-invariant |
L |
3.9629744849902 |
L(r)(E,1)/r! |
Ω |
1.9506194545051 |
Real period |
R |
0.25395615197017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50225r1 50225p1 |
Quadratic twists by: 5 -7 |