Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bk |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3118794550296182784 = -1 · 218 · 37 · 133 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,356511,-22386177] |
[a1,a2,a3,a4,a6] |
Generators |
[381:12996:1] |
Generators of the group modulo torsion |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
9.3104394646835 |
L(r)(E,1)/r! |
Ω |
0.14563080528923 |
Real period |
R |
0.91331142338112 |
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 |
47424ce1 741b1 |
Quadratic twists by: -4 8 |