Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856bk |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-48731164848377856 = -1 · 212 · 37 · 133 · 195 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,89128,2842836] |
[a1,a2,a3,a4,a6] |
Generators |
[892:28158:1] |
Generators of the group modulo torsion |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
4.1121943662465 |
L(r)(E,1)/r! |
Ω |
0.22110477992511 |
Real period |
R |
0.088563792881997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
741b1 47424ce1 35568cj1 |
Quadratic twists by: -4 8 -3 |