Atkin-Lehner |
7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19481a |
Isogeny class |
Conductor |
19481 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-153734292019 = -1 · 73 · 117 · 23 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2339,-48240] |
[a1,a2,a3,a4,a6] |
j |
-799178752/86779 |
j-invariant |
L |
0.68229723344197 |
L(r)(E,1)/r! |
Ω |
0.34114861672099 |
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 |
1771c1 |
Quadratic twists by: -11 |