Atkin-Lehner |
2+ 3- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478x |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-9190107398976 = -1 · 26 · 3 · 78 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64363,-6291946] |
[a1,a2,a3,a4,a6] |
j |
-5114916263401/1594176 |
j-invariant |
L |
1.7983898735217 |
L(r)(E,1)/r! |
Ω |
0.14986602135914 |
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 |
128478t1 |
Quadratic twists by: -7 |