Cremona's table of elliptic curves

885 = 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	3- 5- 59+	Signs for the Atkin-Lehner involutions
Class	885c	Isogeny class
Conductor	885	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	7965 = 33 · 5 · 59	Discriminant
Eigenvalues	0 3- 5-  0 -5 -5 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-5,-4]	[a1,a2,a3,a4,a6]
Generators	[-2:1:1]	Generators of the group modulo torsion
j	16777216/7965	j-invariant
L	2.3961058956724	L(r)(E,1)/r!
Ω	3.2915493121933	Real period
R	0.24265228604214	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	14160s1 56640d1 2655f1 4425a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 885c1

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	-	-	0	-5	-5	-3	-5	2	-2	0	3	6	1	-12	-9	+	2	-9	8	-9	-9	10	-1	10

---

Quadratic twists for elliptic curve 885c1

-4	8	-3	5	-7	-11	-59
14160s1	56640d1	2655f1	4425a1	43365d1	107085q1	52215h1

---

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