Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50600n |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-89068523500000000 = -1 · 28 · 59 · 114 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- 6 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1081833,433699037] |
[a1,a2,a3,a4,a6] |
j |
-280049488661504/178137047 |
j-invariant |
L |
5.3784630382699 |
L(r)(E,1)/r! |
Ω |
0.33615393989725 |
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 |
101200n1 50600f1 |
Quadratic twists by: -4 5 |