Atkin-Lehner |
3- 7+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127323c |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
-22261673943747 = -1 · 314 · 72 · 43 · 472 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 3 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1401,-226107] |
[a1,a2,a3,a4,a6] |
Generators |
[14564:220531:64] |
Generators of the group modulo torsion |
j |
417167618048/30537275643 |
j-invariant |
L |
16.25212355269 |
L(r)(E,1)/r! |
Ω |
0.32298913201421 |
Real period |
R |
6.2897330154375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000181288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42441h1 |
Quadratic twists by: -3 |