Atkin-Lehner |
3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5661a |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40000 |
Modular degree for the optimal curve |
Δ |
-71848096604379 = -1 · 33 · 175 · 374 |
Discriminant |
Eigenvalues |
-2 3+ 3 2 5 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15951,-876112] |
[a1,a2,a3,a4,a6] |
j |
-16623546901917696/2661040614977 |
j-invariant |
L |
1.6844547587727 |
L(r)(E,1)/r! |
Ω |
0.21055684484659 |
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 |
90576o1 5661b1 96237b1 |
Quadratic twists by: -4 -3 17 |