Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bo |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
6367680 |
Modular degree for the optimal curve |
Δ |
-5.1626976326046E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53351726,149992478048] |
[a1,a2,a3,a4,a6] |
Generators |
[4476:27256:1] |
Generators of the group modulo torsion |
j |
-26871326451338091730232425/826031621216729088 |
j-invariant |
L |
6.3419761215766 |
L(r)(E,1)/r! |
Ω |
0.15378731555302 |
Real period |
R |
0.45820684948699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bq1 |
Quadratic twists by: 5 |