Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320p |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-173280000 = -1 · 28 · 3 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2020,-35632] |
[a1,a2,a3,a4,a6] |
j |
-9868374736/1875 |
j-invariant |
L |
2.8483859724058 |
L(r)(E,1)/r! |
Ω |
0.356048246541 |
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 |
86640k1 129960ci1 43320u1 |
Quadratic twists by: -4 -3 -19 |