Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648h |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-113585711616 = -1 · 29 · 310 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,789,-13790] |
[a1,a2,a3,a4,a6] |
Generators |
[5522:410346:1] |
Generators of the group modulo torsion |
j |
145531576/304317 |
j-invariant |
L |
5.4832759633854 |
L(r)(E,1)/r! |
Ω |
0.54774150868719 |
Real period |
R |
5.0053500390343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648r2 127296bm2 21216m2 |
Quadratic twists by: -4 8 -3 |