Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530ba |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
20993856307200 = 216 · 310 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7929,-156947] |
[a1,a2,a3,a4,a6] |
j |
75627935783569/28798156800 |
j-invariant |
L |
2.0896470317145 |
L(r)(E,1)/r! |
Ω |
0.52241175792862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510o1 97650ej1 |
Quadratic twists by: -3 5 |