Atkin-Lehner |
3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445b |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-252235643895 = -1 · 38 · 5 · 194 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585,-24624] |
[a1,a2,a3,a4,a6] |
j |
-30400540561/346002255 |
j-invariant |
L |
3.3539701646056 |
L(r)(E,1)/r! |
Ω |
0.41924627076444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16815e1 |
Quadratic twists by: -3 |