Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
585h |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3080025 = -1 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
2.4047265040661 |
L(r)(E,1)/r! |
Ω |
1.4679294821797 |
Real period |
R |
0.8190878830553 |
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 |
9360bx2 37440bw2 65a2 2925k2 |
Quadratic twists by: -4 8 -3 5 |