Atkin-Lehner |
5- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21385n |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-35730936877201475 = -1 · 52 · 712 · 133 · 47 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42385,-9709044] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:55737:1] |
Generators of the group modulo torsion |
j |
-8421132893439655936/35730936877201475 |
j-invariant |
L |
5.425214053228 |
L(r)(E,1)/r! |
Ω |
0.15139124748443 |
Real period |
R |
0.49771830562047 |
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 |
106925a2 |
Quadratic twists by: 5 |