Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bm |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
1.1189259966454E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139640963,-380042754719] |
[a1,a2,a3,a4,a6] |
Generators |
[-10045:-90978:1] |
Generators of the group modulo torsion |
j |
19272683606216463573689449/7161126378530668544000 |
j-invariant |
L |
13.284378894633 |
L(r)(E,1)/r! |
Ω |
0.045296518896305 |
Real period |
R |
1.7456900844323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f3 |
Quadratic twists by: 5 |