Atkin-Lehner |
3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595s |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
13361203125 = 37 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 -6 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-777,6210] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:112:1] [-12:117:1] |
Generators of the group modulo torsion |
j |
71163817984/18328125 |
j-invariant |
L |
3.5158796896494 |
L(r)(E,1)/r! |
Ω |
1.177688782435 |
Real period |
R |
0.1243919355043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5865e1 87975bc1 |
Quadratic twists by: -3 5 |