Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063w |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-187758077133627 = -1 · 313 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43365,-3537788] |
[a1,a2,a3,a4,a6] |
j |
-105154048000/2189187 |
j-invariant |
L |
0.66085964746167 |
L(r)(E,1)/r! |
Ω |
0.16521491117441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21021c1 9009n1 |
Quadratic twists by: -3 -7 |