Cremona's table of elliptic curves

9282 = 2 · 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 13+ 17-	Signs for the Atkin-Lehner involutions
Class	9282c	Isogeny class
Conductor	9282	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	152882977338 = 2 · 33 · 73 · 134 · 172	Discriminant
Eigenvalues	2+ 3+  2 7- -4 13+ 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-28548579,-58723624197]	[a1,a2,a3,a4,a6]
Generators	[6421:147622:1]	Generators of the group modulo torsion
j	2573221814539797208162915513/152882977338	j-invariant
L	3.0416858367052	L(r)(E,1)/r!
Ω	0.065313570897335	Real period
R	3.8808752337835	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	74256cm4 27846bj4 64974y4 120666bk4	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282c3

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	+	-	-4	4	2	-8	2	2	12	-8	10	0	-6	8	0	14	-16	0	2	6

---

Quadratic twists for elliptic curve 9282c3

-4	-3	-7	13
74256cm4	27846bj4	64974y4	120666bk4

---

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