Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bf |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
3793920 |
Modular degree for the optimal curve |
Δ |
196622013990528000 = 210 · 313 · 53 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56961006,165463467808] |
[a1,a2,a3,a4,a6] |
Generators |
[4352:-1569:1] |
Generators of the group modulo torsion |
j |
163510874301405582957720077/1572976111924224 |
j-invariant |
L |
4.7175556850736 |
L(r)(E,1)/r! |
Ω |
0.22186939288007 |
Real period |
R |
0.81779846722449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650cn1 |
Quadratic twists by: 5 |