Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50600k |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-1454954574218750000 = -1 · 24 · 512 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539950,163369125] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:17457:1] |
Generators of the group modulo torsion |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
5.6754383117553 |
L(r)(E,1)/r! |
Ω |
0.26359782083236 |
Real period |
R |
1.794222695585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101200c1 10120b1 |
Quadratic twists by: -4 5 |