Atkin-Lehner |
2- 11- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
32164f |
Isogeny class |
Conductor |
32164 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
264645392 = 24 · 113 · 172 · 43 |
Discriminant |
Eigenvalues |
2- -2 -4 -5 11- -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170,289] |
[a1,a2,a3,a4,a6] |
Generators |
[0:17:1] [-10:33:1] |
Generators of the group modulo torsion |
j |
34158804736/16540337 |
j-invariant |
L |
3.7031550009791 |
L(r)(E,1)/r! |
Ω |
1.5519861786247 |
Real period |
R |
0.1325597071812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128656s1 |
Quadratic twists by: -4 |