Atkin-Lehner |
2+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650s |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-88105262500000 = -1 · 25 · 58 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10633,-163459] |
[a1,a2,a3,a4,a6] |
Generators |
[19:203:1] [53:713:1] |
Generators of the group modulo torsion |
j |
340336198935/225549472 |
j-invariant |
L |
5.8963518923729 |
L(r)(E,1)/r! |
Ω |
0.34425743044268 |
Real period |
R |
0.95154113220032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650bc1 |
Quadratic twists by: 5 |