Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905g |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-11410875 = -1 · 34 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,1721] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
-40282095616/232875 |
j-invariant |
L |
3.1258991960425 |
L(r)(E,1)/r! |
Ω |
2.2793208322314 |
Real period |
R |
0.68570846890876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715bm1 84525bs1 16905x1 |
Quadratic twists by: -3 5 -7 |