Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745n |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
506814945 = 3 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,3171] |
[a1,a2,a3,a4,a6] |
j |
1771561/105 |
j-invariant |
L |
1.6262293906561 |
L(r)(E,1)/r! |
Ω |
1.6262293906561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235bc1 88725s1 124215be1 105a1 |
Quadratic twists by: -3 5 -7 13 |