Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561o |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
176523501609 = 310 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2966,-58044] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:63:1] |
Generators of the group modulo torsion |
j |
3957057343513/242144721 |
j-invariant |
L |
3.1142438742735 |
L(r)(E,1)/r! |
Ω |
0.64942408175093 |
Real period |
R |
2.397696637517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187c2 108927h2 |
Quadratic twists by: -3 -7 |