Cremona's table of elliptic curves

16968 = 2³ · 3 · 7 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 101-	Signs for the Atkin-Lehner involutions
Class	16968a	Isogeny class
Conductor	16968	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	58880	Modular degree for the optimal curve
Δ	3665777036544 = 28 · 310 · 74 · 101	Discriminant
Eigenvalues	2+ 3- -3 7- -6 -3 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14337,649539]	[a1,a2,a3,a4,a6]
Generators	[-4169793:111925758:103823] [-81:1134:1]	Generators of the group modulo torsion
j	1273177321243648/14319441549	j-invariant
L	7.0436273483629	L(r)(E,1)/r!
Ω	0.79123650415354	Real period
R	0.055637815869447	Regulator
r	2	Rank of the group of rational points
S	0.99999999999975	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33936a1 50904k1 118776e1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 16968a1

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
+	-	-3	-	-6	-3	-3	-7	-7	2	-7	-6	2	-4	-9	-8	-14	10	-6	5	4	13	-14	12	6

---

Quadratic twists for elliptic curve 16968a1

-4	-3	-7
33936a1	50904k1	118776e1

---

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