Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880bv |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
232989696000000 = 216 · 34 · 56 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15745,-202657] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:480:1] [-94:675:1] |
Generators of the group modulo torsion |
j |
6587177392516/3555140625 |
j-invariant |
L |
10.58942618856 |
L(r)(E,1)/r! |
Ω |
0.45398685678888 |
Real period |
R |
1.9437835461182 |
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 |
50880db2 6360a2 |
Quadratic twists by: -4 8 |