Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bs |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2962729795584 = -1 · 216 · 3 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10561,-429409] |
[a1,a2,a3,a4,a6] |
Generators |
[2893:155532:1] |
Generators of the group modulo torsion |
j |
-1987925163844/45207669 |
j-invariant |
L |
7.8834798744045 |
L(r)(E,1)/r! |
Ω |
0.23515577080452 |
Real period |
R |
5.5874168339773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cp1 5928k1 |
Quadratic twists by: -4 8 |