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	890d	Isogeny class
Conductor	890	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	-3560 = -1 · 23 · 5 · 89	Discriminant
Eigenvalues	2+  1 5- -4 -1  4  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-13,16]	[a1,a2,a3,a4,a6]
Generators	[2:-1:1]	Generators of the group modulo torsion
j	-217081801/3560	j-invariant
L	1.9993135464055	L(r)(E,1)/r!
Ω	4.4512040152286	Real period
R	0.4491624152848	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7120p1 28480f1 8010i1 4450l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 890d1

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
+	1	-	-4	-1	4	0	-6	-4	-2	-8	-2	-4	11	-5	11	-12	-7	0	6	-12	-8	7	-	-8

---

Quadratic twists for elliptic curve 890d1

-4	8	-3	5	-7	-11	89
7120p1	28480f1	8010i1	4450l1	43610e1	107690bj1	79210d1

---

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