Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286j |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-5252272128 = -1 · 212 · 32 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -6 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2123,37622] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1560:1] [24:-38:1] |
Generators of the group modulo torsion |
j |
-215244881657/1069056 |
j-invariant |
L |
6.5208280422154 |
L(r)(E,1)/r! |
Ω |
1.3671693670076 |
Real period |
R |
0.59619789979704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50286f1 |
Quadratic twists by: 17 |