Cremona's table of elliptic curves

890 = 2 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2+ 5+ 89-	Signs for the Atkin-Lehner involutions
Class	890c	Isogeny class
Conductor	890	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	9901250 = 2 · 54 · 892	Discriminant
Eigenvalues	2+  2 5+  4  0  0  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6668,206822]	[a1,a2,a3,a4,a6]
j	32795348404864969/9901250	j-invariant
L	1.8431917777306	L(r)(E,1)/r!
Ω	1.8431917777306	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7120l2 28480x2 8010j2 4450o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 890c2

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

---

Quadratic twists for elliptic curve 890c2

-4	8	-3	5	-7	-11	89
7120l2	28480x2	8010j2	4450o2	43610k2	107690bc2	79210c2

---

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