Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4785c |
Isogeny class |
Conductor |
4785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
343297599975 = 316 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42670,3388925] |
[a1,a2,a3,a4,a6] |
j |
8591960600094797281/343297599975 |
j-invariant |
L |
1.8012500711389 |
L(r)(E,1)/r! |
Ω |
0.90062503556946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560bt4 14355e3 23925a4 52635s4 |
Quadratic twists by: -4 -3 5 -11 |