Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
585f |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
433128515625 = 38 · 58 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73125,7629336] |
[a1,a2,a3,a4,a6] |
Generators |
[120:696:1] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
2.3595617156492 |
L(r)(E,1)/r! |
Ω |
0.8510814529262 |
Real period |
R |
2.7724276067074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360bm5 37440ca6 195a5 2925g5 |
Quadratic twists by: -4 8 -3 5 |