Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bx |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-437059584 = -1 · 216 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5889,171999] |
[a1,a2,a3,a4,a6] |
Generators |
[45:12:1] |
Generators of the group modulo torsion |
j |
-344700718852/6669 |
j-invariant |
L |
7.431868534499 |
L(r)(E,1)/r! |
Ω |
1.5405063725209 |
Real period |
R |
0.80405039398021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cu1 5928l1 |
Quadratic twists by: -4 8 |