Cremona's table of elliptic curves

2928 = 2⁴ · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Class	2928j	Isogeny class
Conductor	2928	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-20756798693376 = -1 · 213 · 3 · 615	Discriminant
Eigenvalues	2- 3+  1  2 -2  4 -7  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8240,364608]	[a1,a2,a3,a4,a6]
Generators	[144:1464:1]	Generators of the group modulo torsion
j	-15107691357361/5067577806	j-invariant
L	3.1836327945118	L(r)(E,1)/r!
Ω	0.64371955187306	Real period
R	0.24728414611986	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	366b2 11712be2 8784v2 73200cr2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2928j2

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
-	+	1	2	-2	4	-7	0	-9	-10	8	-7	12	1	-8	-6	0	-	12	3	-1	-10	1	5	-17

---

Quadratic twists for elliptic curve 2928j2

-4	8	-3	5
366b2	11712be2	8784v2	73200cr2

---

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