Cremona's table of elliptic curves

4094 = 2 · 23 · 89

Field	Data	Notes
Atkin-Lehner	2+ 23- 89+	Signs for the Atkin-Lehner involutions
Class	4094d	Isogeny class
Conductor	4094	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	67200	Modular degree for the optimal curve
Δ	-4800592781092286 = -1 · 2 · 237 · 893	Discriminant
Eigenvalues	2+  3 -2  5 -1 -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-42793,4777475]	[a1,a2,a3,a4,a6]
j	-8666577439441687017/4800592781092286	j-invariant
L	2.8168602019167	L(r)(E,1)/r!
Ω	0.40240860027381	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	32752g1 36846v1 102350s1 94162m1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4094d1

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	-2	5	-1	-2	-2	-2	-	5	6	8	-12	4	0	11	9	4	11	9	9	0	-16	+	18

---

Quadratic twists for elliptic curve 4094d1

-4	-3	5	-23
32752g1	36846v1	102350s1	94162m1

---

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