Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880bv |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
712157184000 = 214 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9265,337775] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:195:1] [5:540:1] |
Generators of the group modulo torsion |
j |
5368919813584/43466625 |
j-invariant |
L |
10.58942618856 |
L(r)(E,1)/r! |
Ω |
0.90797371357775 |
Real period |
R |
0.48594588652956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880db1 6360a1 |
Quadratic twists by: -4 8 |