Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905x |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-1342478032875 = -1 · 34 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12805,-564791] |
[a1,a2,a3,a4,a6] |
j |
-40282095616/232875 |
j-invariant |
L |
2.6918632239634 |
L(r)(E,1)/r! |
Ω |
0.22432193533028 |
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 |
50715i1 84525b1 16905g1 |
Quadratic twists by: -3 5 -7 |