Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787a |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-245686842692252577 = -1 · 37 · 78 · 117 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ 11- 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,118457,18006850] |
[a1,a2,a3,a4,a6] |
j |
17999471/24057 |
j-invariant |
L |
3.3661213743991 |
L(r)(E,1)/r! |
Ω |
0.21038258589994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361t1 17787q1 1617b1 |
Quadratic twists by: -3 -7 -11 |