Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020t |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
35192575602000 = 24 · 36 · 53 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107508,13564793] |
[a1,a2,a3,a4,a6] |
Generators |
[178:261:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
5.1722129501531 |
L(r)(E,1)/r! |
Ω |
0.63689364720136 |
Real period |
R |
2.7069998122373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5780e3 180a3 |
Quadratic twists by: -3 17 |