Cremona's table of elliptic curves

28560 = 2⁴ · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	28560z	Isogeny class
Conductor	28560	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	4515914511360 = 210 · 32 · 5 · 78 · 17	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-17120,861840]	[a1,a2,a3,a4,a6]
j	541951476635524/4410072765	j-invariant
L	3.1137320048698	L(r)(E,1)/r!
Ω	0.77843300121745	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14280x3 114240jg4 85680w4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 28560z4

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

---

Quadratic twists for elliptic curve 28560z4

-4	8	-3
14280x3	114240jg4	85680w4

---

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