Atkin-Lehner |
5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17675i |
Isogeny class |
Conductor |
17675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11940 |
Modular degree for the optimal curve |
Δ |
-276171875 = -1 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
2 -1 5- 7+ 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,42,-807] |
[a1,a2,a3,a4,a6] |
j |
20480/707 |
j-invariant |
L |
2.5107940527714 |
L(r)(E,1)/r! |
Ω |
0.83693135092381 |
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 |
17675e1 123725z1 |
Quadratic twists by: 5 -7 |