Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778z |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-460112596909056 = -1 · 210 · 36 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31946,-2419959] |
[a1,a2,a3,a4,a6] |
Generators |
[281:3135:1] |
Generators of the group modulo torsion |
j |
-4945758439372633/631155825664 |
j-invariant |
L |
7.5157412151421 |
L(r)(E,1)/r! |
Ω |
0.1772887597963 |
Real period |
R |
2.1196327459714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642b1 |
Quadratic twists by: -3 |