Atkin-Lehner |
3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
585d |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-43875 = -1 · 33 · 53 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42,105] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
1.8522954214414 |
L(r)(E,1)/r! |
Ω |
3.6227637613571 |
Real period |
R |
0.76694019129785 |
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 |
9360bg1 37440c1 585b2 2925b1 |
Quadratic twists by: -4 8 -3 5 |