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	4928w	Isogeny class
Conductor	4928	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-13877248 = -1 · 214 · 7 · 112	Discriminant
Eigenvalues	2- -2 -2 7+ 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-49,207]	[a1,a2,a3,a4,a6]
Generators	[-7:16:1] [-1:16:1]	Generators of the group modulo torsion
j	-810448/847	j-invariant
L	3.3023131469286	L(r)(E,1)/r!
Ω	2.0280825158441	Real period
R	0.81414664372143	Regulator
r	2	Rank of the group of rational points
S	0.99999999999983	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4928p1 1232c1 44352dy1 123200fq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928w1

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

---

Quadratic twists for elliptic curve 4928w1

-4	8	-3	5	-7	-11
4928p1	1232c1	44352dy1	123200fq1	34496cs1	54208dd1

---

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