Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
585i |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-19990546875 = -1 · 39 · 57 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -5 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-597,8820] |
[a1,a2,a3,a4,a6] |
Generators |
[8:67:1] |
Generators of the group modulo torsion |
j |
-32278933504/27421875 |
j-invariant |
L |
1.1749876121653 |
L(r)(E,1)/r! |
Ω |
1.113951504727 |
Real period |
R |
0.037671158137087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9360bt1 37440bp1 195c1 2925l1 |
Quadratic twists by: -4 8 -3 5 |