Cremona's table of elliptic curves

5681 = 13 · 19 · 23

Field	Data	Notes
Atkin-Lehner	13+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	5681c	Isogeny class
Conductor	5681	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1088	Modular degree for the optimal curve
Δ	-1698619 = -1 · 132 · 19 · 232	Discriminant
Eigenvalues	-2 -2 -1 -1 -5 13+  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-16,62]	[a1,a2,a3,a4,a6]
Generators	[2:6:1] [5:11:1]	Generators of the group modulo torsion
j	-481890304/1698619	j-invariant
L	1.9053742189003	L(r)(E,1)/r!
Ω	2.3264172615323	Real period
R	0.20475413529676	Regulator
r	2	Rank of the group of rational points
S	1.0000000000012	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	90896n1 51129e1 73853e1 107939i1	Quadratic twists by: -4 -3 13 -19

Hecke Eigenvalues for elliptic curve 5681c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-2	-2	-1	-1	-5	+	3	+	-	-6	2	-2	-10	-7	3	4	-8	-7	-4	2	7	10	-16	6	0

---

Quadratic twists for elliptic curve 5681c1

-4	-3	13	-19
90896n1	51129e1	73853e1	107939i1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations