Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745v |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-5108957817876045315 = -1 · 32 · 5 · 77 · 1310 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3008425,2010370444] |
[a1,a2,a3,a4,a6] |
j |
-21842779439104/37059435 |
j-invariant |
L |
3.3937688255359 |
L(r)(E,1)/r! |
Ω |
0.24241205896685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53235p1 88725b1 124215c1 17745m1 |
Quadratic twists by: -3 5 -7 13 |