Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325w |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1644521484375 = -1 · 37 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,62491] |
[a1,a2,a3,a4,a6] |
Generators |
[18:223:1] |
Generators of the group modulo torsion |
j |
-4826809/144375 |
j-invariant |
L |
5.824234021941 |
L(r)(E,1)/r! |
Ω |
0.70376495465621 |
Real period |
R |
4.1379113746763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775i1 3465n1 121275df1 |
Quadratic twists by: -3 5 -7 |