Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562q |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-4.510737858477E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17693793,30419342397] |
[a1,a2,a3,a4,a6] |
j |
-840347716046483516416273/61875690788436630336 |
j-invariant |
L |
2.232636328068 |
L(r)(E,1)/r! |
Ω |
0.1116318164034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7854r2 |
Quadratic twists by: -3 |