Atkin-Lehner |
2- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
53960c |
Isogeny class |
Conductor |
53960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-59217862400 = -1 · 28 · 52 · 194 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223,11778] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:114:1] |
Generators of the group modulo torsion |
j |
-4790692944/231319775 |
j-invariant |
L |
4.0155282071044 |
L(r)(E,1)/r! |
Ω |
0.9217290712857 |
Real period |
R |
0.54456460311621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107920c2 |
Quadratic twists by: -4 |