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	28560du	Isogeny class
Conductor	28560	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-6914994095520000 = -1 · 28 · 32 · 54 · 710 · 17	Discriminant
Eigenvalues	2- 3- 5- 7+  4 -2 17- -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,39860,-2560600]	[a1,a2,a3,a4,a6]
Generators	[22830:364285:216]	Generators of the group modulo torsion
j	27358024514264624/27011695685625	j-invariant
L	7.2615847102747	L(r)(E,1)/r!
Ω	0.22889185795382	Real period
R	7.9312396421498	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	7140h2 114240fq2 85680dt2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 28560du2

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

---

Quadratic twists for elliptic curve 28560du2

-4	8	-3
7140h2	114240fq2	85680dt2

---

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