Atkin-Lehner |
2+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55480c |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-648006400 = -1 · 28 · 52 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20,-1232] |
[a1,a2,a3,a4,a6] |
Generators |
[12:20:1] [31:170:1] |
Generators of the group modulo torsion |
j |
-3631696/2531275 |
j-invariant |
L |
7.2883168605521 |
L(r)(E,1)/r! |
Ω |
0.72896590874672 |
Real period |
R |
4.9990793623551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960f2 |
Quadratic twists by: -4 |