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	4928bj	Isogeny class
Conductor	4928	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-20569550848 = -1 · 212 · 73 · 114	Discriminant
Eigenvalues	2- -2 -4 7- 11- -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,135,6919]	[a1,a2,a3,a4,a6]
Generators	[-13:56:1] [-6:77:1]	Generators of the group modulo torsion
j	65939264/5021863	j-invariant
L	3.1522243380342	L(r)(E,1)/r!
Ω	0.92740513956361	Real period
R	0.28324768787305	Regulator
r	2	Rank of the group of rational points
S	0.99999999999949	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4928v1 2464g1 44352eo1 123200es1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bj1

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	-6	-2	0	-10	-8	6	2	-12	-8	-6	-14	0	8	-8	-10	-8	-10	2	14

---

Quadratic twists for elliptic curve 4928bj1

-4	8	-3	5	-7	-11
4928v1	2464g1	44352eo1	123200es1	34496dl1	54208cj1

---

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