Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080c |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-27688960 = -1 · 215 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -5 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,-208] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
2808/5 |
j-invariant |
L |
3.4977919842521 |
L(r)(E,1)/r! |
Ω |
1.1043211334072 |
Real period |
R |
1.5836842556206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080b1 27040h1 54080bc1 |
Quadratic twists by: -4 8 13 |