Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+ 23-	Signs for the Atkin-Lehner involutions
Class	3542k	Isogeny class
Conductor	3542	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1.0214846346888E+22	Discriminant
Eigenvalues	2-  0  2 7+ 11+ -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6567664,4282243921]	[a1,a2,a3,a4,a6]
Generators	[24436267249590:1115852156591509:6751269000]	Generators of the group modulo torsion
j	31329713901973986300131793/10214846346887693144018	j-invariant
L	5.1942195475078	L(r)(E,1)/r!
Ω	0.11872893625028	Real period
R	21.874278131148	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28336bo3 113344s3 31878i3 88550o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542k3

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
-	0	2	+	+	-6	-6	8	-	-2	0	-2	-6	-12	0	6	0	-6	4	0	2	-16	-8	-14	2

---

Quadratic twists for elliptic curve 3542k3

-4	8	-3	5	-7	-11	-23
28336bo3	113344s3	31878i3	88550o3	24794bh3	38962p3	81466bm3

---

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