Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062k |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32342016 |
Modular degree for the optimal curve |
Δ |
-2.4881131080823E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90225126,2422486914484] |
[a1,a2,a3,a4,a6] |
Generators |
[9311741369004:1925493829200938:212776173] |
Generators of the group modulo torsion |
j |
-111423982835049208609221217/3413049530977153233911808 |
j-invariant |
L |
5.7062765516126 |
L(r)(E,1)/r! |
Ω |
0.038218680372427 |
Real period |
R |
18.663244308716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354t1 |
Quadratic twists by: -3 |