Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4335d |
Isogeny class |
Conductor |
4335 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3959164755225 = 38 · 52 · 176 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39021,-2968560] |
[a1,a2,a3,a4,a6] |
j |
272223782641/164025 |
j-invariant |
L |
1.3587845371997 |
L(r)(E,1)/r! |
Ω |
0.33969613429993 |
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 |
69360cc6 13005n5 21675c6 15a2 |
Quadratic twists by: -4 -3 5 17 |