Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550r |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-3.2995154917621E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9836412,30081897296] |
[a1,a2,a3,a4,a6] |
Generators |
[344:163348:1] |
Generators of the group modulo torsion |
j |
-42779190704491347471/134106202987839488 |
j-invariant |
L |
4.7866037894506 |
L(r)(E,1)/r! |
Ω |
0.084614798215366 |
Real period |
R |
3.5355841194489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550dg1 53550da1 |
Quadratic twists by: -3 5 |