Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787d |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
44856 |
Modular degree for the optimal curve |
Δ |
-253207354323 = -1 · 3 · 78 · 114 |
Discriminant |
Eigenvalues |
2 3+ -2 7+ 11- -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13834,-622161] |
[a1,a2,a3,a4,a6] |
j |
-3469312/3 |
j-invariant |
L |
1.9808426993321 |
L(r)(E,1)/r! |
Ω |
0.22009363325912 |
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 |
53361x1 17787y1 17787e1 |
Quadratic twists by: -3 -7 -11 |