Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184v |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
8129808 = 24 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,14407] |
[a1,a2,a3,a4,a6] |
Generators |
[21:13:1] |
Generators of the group modulo torsion |
j |
13285149952/697 |
j-invariant |
L |
7.1796316212958 |
L(r)(E,1)/r! |
Ω |
2.2022547907626 |
Real period |
R |
1.630063799011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368m1 5576d1 |
Quadratic twists by: -4 -3 |