Atkin-Lehner |
2- 3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758x |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-241019064 = -1 · 23 · 36 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236,1639] |
[a1,a2,a3,a4,a6] |
Generators |
[31:137:1] |
Generators of the group modulo torsion |
j |
-1986121593/330616 |
j-invariant |
L |
10.600435770361 |
L(r)(E,1)/r! |
Ω |
1.6936685220374 |
Real period |
R |
0.52157174561403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4862b1 |
Quadratic twists by: -3 |