Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561b |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13640819283 = -1 · 33 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,583,-1620] |
[a1,a2,a3,a4,a6] |
Generators |
[6:42:1] |
Generators of the group modulo torsion |
j |
812949929037/505215529 |
j-invariant |
L |
2.18872539443 |
L(r)(E,1)/r! |
Ω |
0.72443597086535 |
Real period |
R |
0.3776602561258 |
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 |
15561a2 108927b2 |
Quadratic twists by: -3 -7 |