Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550g |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-7.1606296573379E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58448292,-214825918384] |
[a1,a2,a3,a4,a6] |
Generators |
[2235502360:301735008372:103823] |
Generators of the group modulo torsion |
j |
-71800566610391670267/23283051266048000 |
j-invariant |
L |
4.9677903172232 |
L(r)(E,1)/r! |
Ω |
0.026857557040496 |
Real period |
R |
11.560503971254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cr1 10710s1 |
Quadratic twists by: -3 5 |