Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745t |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8993431199025 = 32 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6510,141075] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:605:1] |
Generators of the group modulo torsion |
j |
6321363049/1863225 |
j-invariant |
L |
4.0354945416495 |
L(r)(E,1)/r! |
Ω |
0.67918641648875 |
Real period |
R |
2.9708298367569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53235h2 88725r2 124215h2 1365e2 |
Quadratic twists by: -3 5 -7 13 |