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 |
Δ |
-15264000000000000 = -1 · 217 · 32 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60575,-1530625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1275:1] [925:29100:1] |
Generators of the group modulo torsion |
j |
187536965595982/116455078125 |
j-invariant |
L |
10.58942618856 |
L(r)(E,1)/r! |
Ω |
0.22699342839444 |
Real period |
R |
7.775134184473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880db3 6360a4 |
Quadratic twists by: -4 8 |