Atkin-Lehner |
2+ 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bf |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-595912789555200 = -1 · 211 · 36 · 52 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13689,-1323027] |
[a1,a2,a3,a4,a6] |
j |
-389160900739729/817438668800 |
j-invariant |
L |
2.0697610797325 |
L(r)(E,1)/r! |
Ω |
0.20697610797898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590e1 |
Quadratic twists by: -3 |