Atkin-Lehner |
13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5681b |
Isogeny class |
Conductor |
5681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4672 |
Modular degree for the optimal curve |
Δ |
-287066611 = -1 · 134 · 19 · 232 |
Discriminant |
Eigenvalues |
2 -2 1 -3 -3 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1730,-28293] |
[a1,a2,a3,a4,a6] |
j |
-572945133039616/287066611 |
j-invariant |
L |
1.4804169711111 |
L(r)(E,1)/r! |
Ω |
0.37010424277778 |
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 |
90896m1 51129f1 73853g1 107939k1 |
Quadratic twists by: -4 -3 13 -19 |