Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
585f |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-133800231512025 = -1 · 38 · 52 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5445,533250] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:600:1] |
Generators of the group modulo torsion |
j |
24487529386319/183539412225 |
j-invariant |
L |
2.3595617156492 |
L(r)(E,1)/r! |
Ω |
0.4255407264631 |
Real period |
R |
0.69310690167684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360bm6 37440ca5 195a6 2925g6 |
Quadratic twists by: -4 8 -3 5 |