Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bu |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-305000349696 = -1 · 220 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-26350] |
[a1,a2,a3,a4,a6] |
j |
2924207/102144 |
j-invariant |
L |
1.8666998261648 |
L(r)(E,1)/r! |
Ω |
0.46667495654121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394f1 76608fk1 6384u1 |
Quadratic twists by: -4 8 -3 |