Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960bz |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.398157216E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85487507,-304220914606] |
[a1,a2,a3,a4,a6] |
Generators |
[-11753989:5756850:2197] |
Generators of the group modulo torsion |
j |
143378317900125424089/4976562500000 |
j-invariant |
L |
5.0811694555341 |
L(r)(E,1)/r! |
Ω |
0.049650633725209 |
Real period |
R |
8.5282051041059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370j3 7280k3 |
Quadratic twists by: -4 -7 |