Cremona's table of elliptic curves

2583 = 3² · 7 · 41

Field	Data	Notes
Atkin-Lehner	3+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	2583b	Isogeny class
Conductor	2583	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-91182483 = -1 · 33 · 72 · 413	Discriminant
Eigenvalues	0 3+  0 7- -3  2 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-150,843]	[a1,a2,a3,a4,a6]
Generators	[-1:31:1]	Generators of the group modulo torsion
j	-13824000000/3377129	j-invariant
L	2.7543467679471	L(r)(E,1)/r!
Ω	1.816839043709	Real period
R	1.1370077515194	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	41328s1 2583a2 64575c1 18081a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2583b1

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	-	-3	2	-3	2	6	-3	-7	5	-	-1	9	-6	-12	-1	8	-15	11	-10	-6	-18	2

---

Quadratic twists for elliptic curve 2583b1

-4	-3	5	-7	41
41328s1	2583a2	64575c1	18081a1	105903a1

---

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