Cremona's table of elliptic curves

4928 = 2⁶ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	4928j	Isogeny class
Conductor	4928	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-34496 = -1 · 26 · 72 · 11	Discriminant
Eigenvalues	2+  3  1 7+ 11-  4  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,8,2]	[a1,a2,a3,a4,a6]
j	884736/539	j-invariant
L	4.5251741981961	L(r)(E,1)/r!
Ω	2.2625870990981	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4928bf1 77a1 44352u1 123200cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928j1

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
+	3	1	+	-	4	2	6	-5	-10	1	5	-2	8	8	6	-3	2	3	1	10	6	-12	-15	-5

---

Quadratic twists for elliptic curve 4928j1

-4	8	-3	5	-7	-11
4928bf1	77a1	44352u1	123200cj1	34496bw1	54208bp1

---

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