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	4928bc	Isogeny class
Conductor	4928	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1130364928 = 221 · 72 · 11	Discriminant
Eigenvalues	2-  0  4 7- 11+ -2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30028,-2002800]	[a1,a2,a3,a4,a6]
Generators	[1606305:182073741:125]	Generators of the group modulo torsion
j	11422548526761/4312	j-invariant
L	4.6015386135097	L(r)(E,1)/r!
Ω	0.3626752864322	Real period
R	12.687764470464	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4928i2 1232k2 44352fd2 123200dy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bc2

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

---

Quadratic twists for elliptic curve 4928bc2

-4	8	-3	5	-7	-11
4928i2	1232k2	44352fd2	123200dy2	34496cj2	54208by2

---

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