Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020t |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-70385151204000000 = -1 · 28 · 36 · 56 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94503,16969502] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:5202:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
5.1722129501531 |
L(r)(E,1)/r! |
Ω |
0.31844682360068 |
Real period |
R |
1.3534999061187 |
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 |
5780e4 180a4 |
Quadratic twists by: -3 17 |