Atkin-Lehner |
3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3723c |
Isogeny class |
Conductor |
3723 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-51603494067 = -1 · 33 · 173 · 733 |
Discriminant |
Eigenvalues |
0 3- 0 -1 6 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,887,4318] |
[a1,a2,a3,a4,a6] |
Generators |
[442:3791:8] |
Generators of the group modulo torsion |
j |
77091209216000/51603494067 |
j-invariant |
L |
3.5047656304186 |
L(r)(E,1)/r! |
Ω |
0.70635606885167 |
Real period |
R |
4.9617548216388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59568p2 11169e2 93075d2 63291a2 |
Quadratic twists by: -4 -3 5 17 |