Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449r |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-3643602118443 = -1 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
0 3- -2 7+ -6 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34986,-2520450] |
[a1,a2,a3,a4,a6] |
j |
-3899392/3 |
j-invariant |
L |
1.0471932641472 |
L(r)(E,1)/r! |
Ω |
0.17453235483339 |
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 |
42483o1 127449bb1 127449x1 |
Quadratic twists by: -3 -7 17 |